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Finding the Fourth Proportional to 2,462.76, 3,693.84 and 731.52

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Solution

The fourth proportional to 2,462.76, 3,693.84 and 731.52 is: 1,097.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462.76 : 3,693.84 = 731.52 : x
  2. Step 2: Convert to fraction form
    2,462.76/3,693.84 = 731.52/x
  3. Step 3: Cross multiply
    2,462.76x = 3,693.84 × 731.52
  4. Step 4: Simplify right side
    2,462.76x = 2,702,117.84
  5. Step 5: Solve for x
    x = 2,702,117.84/2,462.76
  6. Step 6: Final answer
    x = 1,097.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.