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Finding the Fourth Proportional to 2,045.24, 3,067.56 and 746.71

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Solution

The fourth proportional to 2,045.24, 3,067.56 and 746.71 is: 1,119.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045.24 : 3,067.56 = 746.71 : x
  2. Step 2: Convert to fraction form
    2,045.24/3,067.56 = 746.71/x
  3. Step 3: Cross multiply
    2,045.24x = 3,067.56 × 746.71
  4. Step 4: Simplify right side
    2,045.24x = 2,290,581.56
  5. Step 5: Solve for x
    x = 2,290,581.56/2,045.24
  6. Step 6: Final answer
    x = 1,119.96

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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.