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Finding the Fourth Proportional to 2,374.27, 3,275.71 and 1,429.71

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Solution

The fourth proportional to 2,374.27, 3,275.71 and 1,429.71 is: 1,972.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,374.27 : 3,275.71 = 1,429.71 : x
  2. Step 2: Convert to fraction form
    2,374.27/3,275.71 = 1,429.71/x
  3. Step 3: Cross multiply
    2,374.27x = 3,275.71 × 1,429.71
  4. Step 4: Simplify right side
    2,374.27x = 4,683,304.80
  5. Step 5: Solve for x
    x = 4,683,304.80/2,374.27
  6. Step 6: Final answer
    x = 1,972.52

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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.