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Finding the Fourth Proportional to 2,932.28, 4,397.96 and 1,084.28

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Solution

The fourth proportional to 2,932.28, 4,397.96 and 1,084.28 is: 1,626.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,932.28 : 4,397.96 = 1,084.28 : x
  2. Step 2: Convert to fraction form
    2,932.28/4,397.96 = 1,084.28/x
  3. Step 3: Cross multiply
    2,932.28x = 4,397.96 × 1,084.28
  4. Step 4: Simplify right side
    2,932.28x = 4,768,620.07
  5. Step 5: Solve for x
    x = 4,768,620.07/2,932.28
  6. Step 6: Final answer
    x = 1,626.25

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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.