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Finding the Fourth Proportional to 2,013.60, 2,779.92 and 1,387.68

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Solution

The fourth proportional to 2,013.60, 2,779.92 and 1,387.68 is: 1,915.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,013.60 : 2,779.92 = 1,387.68 : x
  2. Step 2: Convert to fraction form
    2,013.60/2,779.92 = 1,387.68/x
  3. Step 3: Cross multiply
    2,013.60x = 2,779.92 × 1,387.68
  4. Step 4: Simplify right side
    2,013.60x = 3,857,639.39
  5. Step 5: Solve for x
    x = 3,857,639.39/2,013.60
  6. Step 6: Final answer
    x = 1,915.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.