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Finding the Fourth Proportional to 3,113.90, 4,672.65 and 1,166.30

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Solution

The fourth proportional to 3,113.90, 4,672.65 and 1,166.30 is: 1,750.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,113.90 : 4,672.65 = 1,166.30 : x
  2. Step 2: Convert to fraction form
    3,113.90/4,672.65 = 1,166.30/x
  3. Step 3: Cross multiply
    3,113.90x = 4,672.65 × 1,166.30
  4. Step 4: Simplify right side
    3,113.90x = 5,449,711.70
  5. Step 5: Solve for x
    x = 5,449,711.70/3,113.90
  6. Step 6: Final answer
    x = 1,750.12

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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.