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Finding the Fourth Proportional to 2,574.57, 3,862.03 and 1,275.69

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Solution

The fourth proportional to 2,574.57, 3,862.03 and 1,275.69 is: 1,913.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,574.57 : 3,862.03 = 1,275.69 : x
  2. Step 2: Convert to fraction form
    2,574.57/3,862.03 = 1,275.69/x
  3. Step 3: Cross multiply
    2,574.57x = 3,862.03 × 1,275.69
  4. Step 4: Simplify right side
    2,574.57x = 4,926,753.05
  5. Step 5: Solve for x
    x = 4,926,753.05/2,574.57
  6. Step 6: Final answer
    x = 1,913.62

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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.