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Finding the Fourth Proportional to 1,371.91, 2,057.35 and 494.18

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Solution

The fourth proportional to 1,371.91, 2,057.35 and 494.18 is: 741.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,371.91 : 2,057.35 = 494.18 : x
  2. Step 2: Convert to fraction form
    1,371.91/2,057.35 = 494.18/x
  3. Step 3: Cross multiply
    1,371.91x = 2,057.35 × 494.18
  4. Step 4: Simplify right side
    1,371.91x = 1,016,690.94
  5. Step 5: Solve for x
    x = 1,016,690.94/1,371.91
  6. Step 6: Final answer
    x = 741.08

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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.