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Finding the Fourth Proportional to 1,600.78, 2,209.13 and 892.62

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Solution

The fourth proportional to 1,600.78, 2,209.13 and 892.62 is: 1,231.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,600.78 : 2,209.13 = 892.62 : x
  2. Step 2: Convert to fraction form
    1,600.78/2,209.13 = 892.62/x
  3. Step 3: Cross multiply
    1,600.78x = 2,209.13 × 892.62
  4. Step 4: Simplify right side
    1,600.78x = 1,971,913.62
  5. Step 5: Solve for x
    x = 1,971,913.62/1,600.78
  6. Step 6: Final answer
    x = 1,231.85

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