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Finding the Fourth Proportional to 2,395.71, 3,306.14 and 1,451.30

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Solution

The fourth proportional to 2,395.71, 3,306.14 and 1,451.30 is: 2,002.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,395.71 : 3,306.14 = 1,451.30 : x
  2. Step 2: Convert to fraction form
    2,395.71/3,306.14 = 1,451.30/x
  3. Step 3: Cross multiply
    2,395.71x = 3,306.14 × 1,451.30
  4. Step 4: Simplify right side
    2,395.71x = 4,798,200.98
  5. Step 5: Solve for x
    x = 4,798,200.98/2,395.71
  6. Step 6: Final answer
    x = 2,002.83

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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.