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Finding the Fourth Proportional to 1,610.56, 2,414.46 and 1,534.01

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Solution

The fourth proportional to 1,610.56, 2,414.46 and 1,534.01 is: 2,299.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,610.56 : 2,414.46 = 1,534.01 : x
  2. Step 2: Convert to fraction form
    1,610.56/2,414.46 = 1,534.01/x
  3. Step 3: Cross multiply
    1,610.56x = 2,414.46 × 1,534.01
  4. Step 4: Simplify right side
    1,610.56x = 3,703,805.78
  5. Step 5: Solve for x
    x = 3,703,805.78/1,610.56
  6. Step 6: Final answer
    x = 2,299.70

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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.