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Finding the Fourth Proportional to 1,927.68, 2,891.28 and 772.56

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Solution

The fourth proportional to 1,927.68, 2,891.28 and 772.56 is: 1,158.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,927.68 : 2,891.28 = 772.56 : x
  2. Step 2: Convert to fraction form
    1,927.68/2,891.28 = 772.56/x
  3. Step 3: Cross multiply
    1,927.68x = 2,891.28 × 772.56
  4. Step 4: Simplify right side
    1,927.68x = 2,233,687.28
  5. Step 5: Solve for x
    x = 2,233,687.28/1,927.68
  6. Step 6: Final answer
    x = 1,158.74

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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.