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Finding the Fourth Proportional to 2,502.44, 3,732.16 and 2,371.22

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Solution

The fourth proportional to 2,502.44, 3,732.16 and 2,371.22 is: 3,536.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,502.44 : 3,732.16 = 2,371.22 : x
  2. Step 2: Convert to fraction form
    2,502.44/3,732.16 = 2,371.22/x
  3. Step 3: Cross multiply
    2,502.44x = 3,732.16 × 2,371.22
  4. Step 4: Simplify right side
    2,502.44x = 8,849,772.44
  5. Step 5: Solve for x
    x = 8,849,772.44/2,502.44
  6. Step 6: Final answer
    x = 3,536.46

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.