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Finding the Fourth Proportional to 3,117.68, 4,673.80 and 1,169.92

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Solution

The fourth proportional to 3,117.68, 4,673.80 and 1,169.92 is: 1,753.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,117.68 : 4,673.80 = 1,169.92 : x
  2. Step 2: Convert to fraction form
    3,117.68/4,673.80 = 1,169.92/x
  3. Step 3: Cross multiply
    3,117.68x = 4,673.80 × 1,169.92
  4. Step 4: Simplify right side
    3,117.68x = 5,467,972.10
  5. Step 5: Solve for x
    x = 5,467,972.10/3,117.68
  6. Step 6: Final answer
    x = 1,753.86

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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.