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Finding the Fourth Proportional to 3,117.85, 4,678.71 and 1,171.42

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Solution

The fourth proportional to 3,117.85, 4,678.71 and 1,171.42 is: 1,757.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,117.85 : 4,678.71 = 1,171.42 : x
  2. Step 2: Convert to fraction form
    3,117.85/4,678.71 = 1,171.42/x
  3. Step 3: Cross multiply
    3,117.85x = 4,678.71 × 1,171.42
  4. Step 4: Simplify right side
    3,117.85x = 5,480,734.47
  5. Step 5: Solve for x
    x = 5,480,734.47/3,117.85
  6. Step 6: Final answer
    x = 1,757.86

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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.