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Finding the Fourth Proportional to 2,078.55, 3,116.78 and 691.39

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Solution

The fourth proportional to 2,078.55, 3,116.78 and 691.39 is: 1,036.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.55 : 3,116.78 = 691.39 : x
  2. Step 2: Convert to fraction form
    2,078.55/3,116.78 = 691.39/x
  3. Step 3: Cross multiply
    2,078.55x = 3,116.78 × 691.39
  4. Step 4: Simplify right side
    2,078.55x = 2,154,914.86
  5. Step 5: Solve for x
    x = 2,154,914.86/2,078.55
  6. Step 6: Final answer
    x = 1,036.74

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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.