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Finding the Fourth Proportional to 2,078.72, 3,116.90 and 691.70

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Solution

The fourth proportional to 2,078.72, 3,116.90 and 691.70 is: 1,037.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.72 : 3,116.90 = 691.70 : x
  2. Step 2: Convert to fraction form
    2,078.72/3,116.90 = 691.70/x
  3. Step 3: Cross multiply
    2,078.72x = 3,116.90 × 691.70
  4. Step 4: Simplify right side
    2,078.72x = 2,155,959.73
  5. Step 5: Solve for x
    x = 2,155,959.73/2,078.72
  6. Step 6: Final answer
    x = 1,037.16

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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.