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Finding the Fourth Proportional to 3,076.50, 4,614.75 and 998.24

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Solution

The fourth proportional to 3,076.50, 4,614.75 and 998.24 is: 1,497.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,076.50 : 4,614.75 = 998.24 : x
  2. Step 2: Convert to fraction form
    3,076.50/4,614.75 = 998.24/x
  3. Step 3: Cross multiply
    3,076.50x = 4,614.75 × 998.24
  4. Step 4: Simplify right side
    3,076.50x = 4,606,639.58
  5. Step 5: Solve for x
    x = 4,606,639.58/3,076.50
  6. Step 6: Final answer
    x = 1,497.36

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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.