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Finding the Fourth Proportional to 1,469.65, 2,192.14 and 1,350.25

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Solution

The fourth proportional to 1,469.65, 2,192.14 and 1,350.25 is: 2,014.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,469.65 : 2,192.14 = 1,350.25 : x
  2. Step 2: Convert to fraction form
    1,469.65/2,192.14 = 1,350.25/x
  3. Step 3: Cross multiply
    1,469.65x = 2,192.14 × 1,350.25
  4. Step 4: Simplify right side
    1,469.65x = 2,959,937.04
  5. Step 5: Solve for x
    x = 2,959,937.04/1,469.65
  6. Step 6: Final answer
    x = 2,014.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.