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Finding the Fourth Proportional to 1,539.92, 2,306.10 and 953.48

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Solution

The fourth proportional to 1,539.92, 2,306.10 and 953.48 is: 1,427.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,539.92 : 2,306.10 = 953.48 : x
  2. Step 2: Convert to fraction form
    1,539.92/2,306.10 = 953.48/x
  3. Step 3: Cross multiply
    1,539.92x = 2,306.10 × 953.48
  4. Step 4: Simplify right side
    1,539.92x = 2,198,820.23
  5. Step 5: Solve for x
    x = 2,198,820.23/1,539.92
  6. Step 6: Final answer
    x = 1,427.88

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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.