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Finding the Fourth Proportional to 2,732.16, 4,098.78 and 883.38

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Solution

The fourth proportional to 2,732.16, 4,098.78 and 883.38 is: 1,325.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,732.16 : 4,098.78 = 883.38 : x
  2. Step 2: Convert to fraction form
    2,732.16/4,098.78 = 883.38/x
  3. Step 3: Cross multiply
    2,732.16x = 4,098.78 × 883.38
  4. Step 4: Simplify right side
    2,732.16x = 3,620,780.28
  5. Step 5: Solve for x
    x = 3,620,780.28/2,732.16
  6. Step 6: Final answer
    x = 1,325.24

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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.