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Finding the Fourth Proportional to 2,882.64, 4,323.96 and 1,151.28

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Solution

The fourth proportional to 2,882.64, 4,323.96 and 1,151.28 is: 1,726.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,882.64 : 4,323.96 = 1,151.28 : x
  2. Step 2: Convert to fraction form
    2,882.64/4,323.96 = 1,151.28/x
  3. Step 3: Cross multiply
    2,882.64x = 4,323.96 × 1,151.28
  4. Step 4: Simplify right side
    2,882.64x = 4,978,088.67
  5. Step 5: Solve for x
    x = 4,978,088.67/2,882.64
  6. Step 6: Final answer
    x = 1,726.92

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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.