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Finding the Fourth Proportional to 1,657.23, 2,484.97 and 998.50

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Solution

The fourth proportional to 1,657.23, 2,484.97 and 998.50 is: 1,497.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657.23 : 2,484.97 = 998.50 : x
  2. Step 2: Convert to fraction form
    1,657.23/2,484.97 = 998.50/x
  3. Step 3: Cross multiply
    1,657.23x = 2,484.97 × 998.50
  4. Step 4: Simplify right side
    1,657.23x = 2,481,233.84
  5. Step 5: Solve for x
    x = 2,481,233.84/1,657.23
  6. Step 6: Final answer
    x = 1,497.22

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Double scale
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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.