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Finding the Fourth Proportional to 2,046.56, 3,067.86 and 876.87

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Solution

The fourth proportional to 2,046.56, 3,067.86 and 876.87 is: 1,314.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046.56 : 3,067.86 = 876.87 : x
  2. Step 2: Convert to fraction form
    2,046.56/3,067.86 = 876.87/x
  3. Step 3: Cross multiply
    2,046.56x = 3,067.86 × 876.87
  4. Step 4: Simplify right side
    2,046.56x = 2,690,111.11
  5. Step 5: Solve for x
    x = 2,690,111.11/2,046.56
  6. Step 6: Final answer
    x = 1,314.45

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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.