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Finding the Fourth Proportional to 2,576.16, 3,863.33 and 932.28

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Solution

The fourth proportional to 2,576.16, 3,863.33 and 932.28 is: 1,398.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,576.16 : 3,863.33 = 932.28 : x
  2. Step 2: Convert to fraction form
    2,576.16/3,863.33 = 932.28/x
  3. Step 3: Cross multiply
    2,576.16x = 3,863.33 × 932.28
  4. Step 4: Simplify right side
    2,576.16x = 3,601,700.63
  5. Step 5: Solve for x
    x = 3,601,700.63/2,576.16
  6. Step 6: Final answer
    x = 1,398.09

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