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Finding the Fourth Proportional to 2,492.61, 3,735.03 and 932.19

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Solution

The fourth proportional to 2,492.61, 3,735.03 and 932.19 is: 1,396.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,492.61 : 3,735.03 = 932.19 : x
  2. Step 2: Convert to fraction form
    2,492.61/3,735.03 = 932.19/x
  3. Step 3: Cross multiply
    2,492.61x = 3,735.03 × 932.19
  4. Step 4: Simplify right side
    2,492.61x = 3,481,757.62
  5. Step 5: Solve for x
    x = 3,481,757.62/2,492.61
  6. Step 6: Final answer
    x = 1,396.83

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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.