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Finding the Fourth Proportional to 1,580.78, 2,371.17 and 887.46

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Solution

The fourth proportional to 1,580.78, 2,371.17 and 887.46 is: 1,331.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.78 : 2,371.17 = 887.46 : x
  2. Step 2: Convert to fraction form
    1,580.78/2,371.17 = 887.46/x
  3. Step 3: Cross multiply
    1,580.78x = 2,371.17 × 887.46
  4. Step 4: Simplify right side
    1,580.78x = 2,104,318.53
  5. Step 5: Solve for x
    x = 2,104,318.53/1,580.78
  6. Step 6: Final answer
    x = 1,331.19

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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.