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Finding the Fourth Proportional to 2,472.46, 3,411.98 and 1,353.38

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Solution

The fourth proportional to 2,472.46, 3,411.98 and 1,353.38 is: 1,867.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472.46 : 3,411.98 = 1,353.38 : x
  2. Step 2: Convert to fraction form
    2,472.46/3,411.98 = 1,353.38/x
  3. Step 3: Cross multiply
    2,472.46x = 3,411.98 × 1,353.38
  4. Step 4: Simplify right side
    2,472.46x = 4,617,705.49
  5. Step 5: Solve for x
    x = 4,617,705.49/2,472.46
  6. Step 6: Final answer
    x = 1,867.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.