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Finding the Fourth Proportional to 2,078.78, 3,115.81 and 691.79

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Solution

The fourth proportional to 2,078.78, 3,115.81 and 691.79 is: 1,036.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.78 : 3,115.81 = 691.79 : x
  2. Step 2: Convert to fraction form
    2,078.78/3,115.81 = 691.79/x
  3. Step 3: Cross multiply
    2,078.78x = 3,115.81 × 691.79
  4. Step 4: Simplify right side
    2,078.78x = 2,155,467.16
  5. Step 5: Solve for x
    x = 2,155,467.16/2,078.78
  6. Step 6: Final answer
    x = 1,036.89

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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.