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Finding the Fourth Proportional to 2,610.29, 3,915.42 and 880.13

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Solution

The fourth proportional to 2,610.29, 3,915.42 and 880.13 is: 1,320.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,610.29 : 3,915.42 = 880.13 : x
  2. Step 2: Convert to fraction form
    2,610.29/3,915.42 = 880.13/x
  3. Step 3: Cross multiply
    2,610.29x = 3,915.42 × 880.13
  4. Step 4: Simplify right side
    2,610.29x = 3,446,078.60
  5. Step 5: Solve for x
    x = 3,446,078.60/2,610.29
  6. Step 6: Final answer
    x = 1,320.19

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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.