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Finding the Fourth Proportional to 2,772.56, 4,158.98 and 824.78

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Solution

The fourth proportional to 2,772.56, 4,158.98 and 824.78 is: 1,237.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,772.56 : 4,158.98 = 824.78 : x
  2. Step 2: Convert to fraction form
    2,772.56/4,158.98 = 824.78/x
  3. Step 3: Cross multiply
    2,772.56x = 4,158.98 × 824.78
  4. Step 4: Simplify right side
    2,772.56x = 3,430,252.89
  5. Step 5: Solve for x
    x = 3,430,252.89/2,772.56
  6. Step 6: Final answer
    x = 1,237.21

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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.