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Finding the Fourth Proportional to 1,474.52, 2,211.77 and 378.97

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Solution

The fourth proportional to 1,474.52, 2,211.77 and 378.97 is: 568.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,474.52 : 2,211.77 = 378.97 : x
  2. Step 2: Convert to fraction form
    1,474.52/2,211.77 = 378.97/x
  3. Step 3: Cross multiply
    1,474.52x = 2,211.77 × 378.97
  4. Step 4: Simplify right side
    1,474.52x = 838,189.89
  5. Step 5: Solve for x
    x = 838,189.89/1,474.52
  6. Step 6: Final answer
    x = 568.45

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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.