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Finding the Fourth Proportional to 3,107.57, 4,663.16 and 1,159.70

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Solution

The fourth proportional to 3,107.57, 4,663.16 and 1,159.70 is: 1,740.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,107.57 : 4,663.16 = 1,159.70 : x
  2. Step 2: Convert to fraction form
    3,107.57/4,663.16 = 1,159.70/x
  3. Step 3: Cross multiply
    3,107.57x = 4,663.16 × 1,159.70
  4. Step 4: Simplify right side
    3,107.57x = 5,407,860.85
  5. Step 5: Solve for x
    x = 5,407,860.85/3,107.57
  6. Step 6: Final answer
    x = 1,740.22

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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.