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Finding the Fourth Proportional to 2,472.30, 3,411.74 and 1,353.23

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Solution

The fourth proportional to 2,472.30, 3,411.74 and 1,353.23 is: 1,867.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472.30 : 3,411.74 = 1,353.23 : x
  2. Step 2: Convert to fraction form
    2,472.30/3,411.74 = 1,353.23/x
  3. Step 3: Cross multiply
    2,472.30x = 3,411.74 × 1,353.23
  4. Step 4: Simplify right side
    2,472.30x = 4,616,868.92
  5. Step 5: Solve for x
    x = 4,616,868.92/2,472.30
  6. Step 6: Final answer
    x = 1,867.44

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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.