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Finding the Fourth Proportional to 2,526.87, 3,790.52 and 772.27

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Solution

The fourth proportional to 2,526.87, 3,790.52 and 772.27 is: 1,158.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,526.87 : 3,790.52 = 772.27 : x
  2. Step 2: Convert to fraction form
    2,526.87/3,790.52 = 772.27/x
  3. Step 3: Cross multiply
    2,526.87x = 3,790.52 × 772.27
  4. Step 4: Simplify right side
    2,526.87x = 2,927,304.88
  5. Step 5: Solve for x
    x = 2,927,304.88/2,526.87
  6. Step 6: Final answer
    x = 1,158.47

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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.