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Finding the Fourth Proportional to 2,472.61, 3,412.23 and 1,353.58

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Solution

The fourth proportional to 2,472.61, 3,412.23 and 1,353.58 is: 1,867.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472.61 : 3,412.23 = 1,353.58 : x
  2. Step 2: Convert to fraction form
    2,472.61/3,412.23 = 1,353.58/x
  3. Step 3: Cross multiply
    2,472.61x = 3,412.23 × 1,353.58
  4. Step 4: Simplify right side
    2,472.61x = 4,618,726.28
  5. Step 5: Solve for x
    x = 4,618,726.28/2,472.61
  6. Step 6: Final answer
    x = 1,867.96

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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.