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Finding the Fourth Proportional to 3,140.26, 4,711.20 and 1,193.02

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Solution

The fourth proportional to 3,140.26, 4,711.20 and 1,193.02 is: 1,789.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,140.26 : 4,711.20 = 1,193.02 : x
  2. Step 2: Convert to fraction form
    3,140.26/4,711.20 = 1,193.02/x
  3. Step 3: Cross multiply
    3,140.26x = 4,711.20 × 1,193.02
  4. Step 4: Simplify right side
    3,140.26x = 5,620,555.82
  5. Step 5: Solve for x
    x = 5,620,555.82/3,140.26
  6. Step 6: Final answer
    x = 1,789.84

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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.