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Finding the Fourth Proportional to 2,946.51, 4,420.17 and 998.19

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Solution

The fourth proportional to 2,946.51, 4,420.17 and 998.19 is: 1,497.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,946.51 : 4,420.17 = 998.19 : x
  2. Step 2: Convert to fraction form
    2,946.51/4,420.17 = 998.19/x
  3. Step 3: Cross multiply
    2,946.51x = 4,420.17 × 998.19
  4. Step 4: Simplify right side
    2,946.51x = 4,412,169.49
  5. Step 5: Solve for x
    x = 4,412,169.49/2,946.51
  6. Step 6: Final answer
    x = 1,497.42

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.