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Finding the Fourth Proportional to 2,515.68, 3,471.84 and 1,730.16

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Solution

The fourth proportional to 2,515.68, 3,471.84 and 1,730.16 is: 2,387.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,515.68 : 3,471.84 = 1,730.16 : x
  2. Step 2: Convert to fraction form
    2,515.68/3,471.84 = 1,730.16/x
  3. Step 3: Cross multiply
    2,515.68x = 3,471.84 × 1,730.16
  4. Step 4: Simplify right side
    2,515.68x = 6,006,838.69
  5. Step 5: Solve for x
    x = 6,006,838.69/2,515.68
  6. Step 6: Final answer
    x = 2,387.76

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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.