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Finding the Fourth Proportional to 2,527.29, 3,790.89 and 772.29

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Solution

The fourth proportional to 2,527.29, 3,790.89 and 772.29 is: 1,158.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,527.29 : 3,790.89 = 772.29 : x
  2. Step 2: Convert to fraction form
    2,527.29/3,790.89 = 772.29/x
  3. Step 3: Cross multiply
    2,527.29x = 3,790.89 × 772.29
  4. Step 4: Simplify right side
    2,527.29x = 2,927,666.44
  5. Step 5: Solve for x
    x = 2,927,666.44/2,527.29
  6. Step 6: Final answer
    x = 1,158.42

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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.