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Finding the Fourth Proportional to 3,114.29, 4,672.85 and 1,166.64

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Solution

The fourth proportional to 3,114.29, 4,672.85 and 1,166.64 is: 1,750.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.29 : 4,672.85 = 1,166.64 : x
  2. Step 2: Convert to fraction form
    3,114.29/4,672.85 = 1,166.64/x
  3. Step 3: Cross multiply
    3,114.29x = 4,672.85 × 1,166.64
  4. Step 4: Simplify right side
    3,114.29x = 5,451,527.89
  5. Step 5: Solve for x
    x = 5,451,527.89/3,114.29
  6. Step 6: Final answer
    x = 1,750.49

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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.