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Finding the Fourth Proportional to 3,159.66, 4,734.30 and 2,230.71

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Solution

The fourth proportional to 3,159.66, 4,734.30 and 2,230.71 is: 3,342.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,159.66 : 4,734.30 = 2,230.71 : x
  2. Step 2: Convert to fraction form
    3,159.66/4,734.30 = 2,230.71/x
  3. Step 3: Cross multiply
    3,159.66x = 4,734.30 × 2,230.71
  4. Step 4: Simplify right side
    3,159.66x = 10,560,850.35
  5. Step 5: Solve for x
    x = 10,560,850.35/3,159.66
  6. Step 6: Final answer
    x = 3,342.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.