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Finding the Fourth Proportional to 1,248.22, 1,865.42 and 1,176.20

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Solution

The fourth proportional to 1,248.22, 1,865.42 and 1,176.20 is: 1,757.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,248.22 : 1,865.42 = 1,176.20 : x
  2. Step 2: Convert to fraction form
    1,248.22/1,865.42 = 1,176.20/x
  3. Step 3: Cross multiply
    1,248.22x = 1,865.42 × 1,176.20
  4. Step 4: Simplify right side
    1,248.22x = 2,194,094.74
  5. Step 5: Solve for x
    x = 2,194,094.74/1,248.22
  6. Step 6: Final answer
    x = 1,757.78

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.