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Finding the Fourth Proportional to 2,057.60, 3,079.05 and 1,508.42

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Solution

The fourth proportional to 2,057.60, 3,079.05 and 1,508.42 is: 2,257.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.60 : 3,079.05 = 1,508.42 : x
  2. Step 2: Convert to fraction form
    2,057.60/3,079.05 = 1,508.42/x
  3. Step 3: Cross multiply
    2,057.60x = 3,079.05 × 1,508.42
  4. Step 4: Simplify right side
    2,057.60x = 4,644,485.21
  5. Step 5: Solve for x
    x = 4,644,485.21/2,057.60
  6. Step 6: Final answer
    x = 2,257.24

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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.