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Finding the Fourth Proportional to 1,229.78, 1,842.91 and 916.01

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Solution

The fourth proportional to 1,229.78, 1,842.91 and 916.01 is: 1,372.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229.78 : 1,842.91 = 916.01 : x
  2. Step 2: Convert to fraction form
    1,229.78/1,842.91 = 916.01/x
  3. Step 3: Cross multiply
    1,229.78x = 1,842.91 × 916.01
  4. Step 4: Simplify right side
    1,229.78x = 1,688,119.41
  5. Step 5: Solve for x
    x = 1,688,119.41/1,229.78
  6. Step 6: Final answer
    x = 1,372.70

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