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Finding the Fourth Proportional to 2,472.90, 3,412.53 and 1,353.82

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Solution

The fourth proportional to 2,472.90, 3,412.53 and 1,353.82 is: 1,868.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472.90 : 3,412.53 = 1,353.82 : x
  2. Step 2: Convert to fraction form
    2,472.90/3,412.53 = 1,353.82/x
  3. Step 3: Cross multiply
    2,472.90x = 3,412.53 × 1,353.82
  4. Step 4: Simplify right side
    2,472.90x = 4,619,951.36
  5. Step 5: Solve for x
    x = 4,619,951.36/2,472.90
  6. Step 6: Final answer
    x = 1,868.23

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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.