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Finding the Fourth Proportional to 4,114.65, 6,170.67 and 1,340.61

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Solution

The fourth proportional to 4,114.65, 6,170.67 and 1,340.61 is: 2,010.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,114.65 : 6,170.67 = 1,340.61 : x
  2. Step 2: Convert to fraction form
    4,114.65/6,170.67 = 1,340.61/x
  3. Step 3: Cross multiply
    4,114.65x = 6,170.67 × 1,340.61
  4. Step 4: Simplify right side
    4,114.65x = 8,272,461.91
  5. Step 5: Solve for x
    x = 8,272,461.91/4,114.65
  6. Step 6: Final answer
    x = 2,010.49

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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.