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Finding the Fourth Proportional to 2,252.43, 3,371.64 and 1,429.47

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Solution

The fourth proportional to 2,252.43, 3,371.64 and 1,429.47 is: 2,139.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,252.43 : 3,371.64 = 1,429.47 : x
  2. Step 2: Convert to fraction form
    2,252.43/3,371.64 = 1,429.47/x
  3. Step 3: Cross multiply
    2,252.43x = 3,371.64 × 1,429.47
  4. Step 4: Simplify right side
    2,252.43x = 4,819,658.23
  5. Step 5: Solve for x
    x = 4,819,658.23/2,252.43
  6. Step 6: Final answer
    x = 2,139.76

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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.