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Finding the Fourth Proportional to 1,844.18, 2,767.43 and 748.55

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Solution

The fourth proportional to 1,844.18, 2,767.43 and 748.55 is: 1,123.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,844.18 : 2,767.43 = 748.55 : x
  2. Step 2: Convert to fraction form
    1,844.18/2,767.43 = 748.55/x
  3. Step 3: Cross multiply
    1,844.18x = 2,767.43 × 748.55
  4. Step 4: Simplify right side
    1,844.18x = 2,071,559.73
  5. Step 5: Solve for x
    x = 2,071,559.73/1,844.18
  6. Step 6: Final answer
    x = 1,123.30

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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.