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Finding the Fourth Proportional to 2,566.20, 3,850.55 and 922.88

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Solution

The fourth proportional to 2,566.20, 3,850.55 and 922.88 is: 1,384.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,566.20 : 3,850.55 = 922.88 : x
  2. Step 2: Convert to fraction form
    2,566.20/3,850.55 = 922.88/x
  3. Step 3: Cross multiply
    2,566.20x = 3,850.55 × 922.88
  4. Step 4: Simplify right side
    2,566.20x = 3,553,595.58
  5. Step 5: Solve for x
    x = 3,553,595.58/2,566.20
  6. Step 6: Final answer
    x = 1,384.77

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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.