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Finding the Fourth Proportional to 2,472.39, 3,411.86 and 1,353.29

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Solution

The fourth proportional to 2,472.39, 3,411.86 and 1,353.29 is: 1,867.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472.39 : 3,411.86 = 1,353.29 : x
  2. Step 2: Convert to fraction form
    2,472.39/3,411.86 = 1,353.29/x
  3. Step 3: Cross multiply
    2,472.39x = 3,411.86 × 1,353.29
  4. Step 4: Simplify right side
    2,472.39x = 4,617,212.19
  5. Step 5: Solve for x
    x = 4,617,212.19/2,472.39
  6. Step 6: Final answer
    x = 1,867.51

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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.