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Finding the Fourth Proportional to 2,713.87, 4,070.73 and 865.10

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Solution

The fourth proportional to 2,713.87, 4,070.73 and 865.10 is: 1,297.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,713.87 : 4,070.73 = 865.10 : x
  2. Step 2: Convert to fraction form
    2,713.87/4,070.73 = 865.10/x
  3. Step 3: Cross multiply
    2,713.87x = 4,070.73 × 865.10
  4. Step 4: Simplify right side
    2,713.87x = 3,521,576.61
  5. Step 5: Solve for x
    x = 3,521,576.61/2,713.87
  6. Step 6: Final answer
    x = 1,297.62

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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.