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Finding the Fourth Proportional to 1,456.47, 2,174.82 and 1,144.82

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Solution

The fourth proportional to 1,456.47, 2,174.82 and 1,144.82 is: 1,709.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456.47 : 2,174.82 = 1,144.82 : x
  2. Step 2: Convert to fraction form
    1,456.47/2,174.82 = 1,144.82/x
  3. Step 3: Cross multiply
    1,456.47x = 2,174.82 × 1,144.82
  4. Step 4: Simplify right side
    1,456.47x = 2,489,766.56
  5. Step 5: Solve for x
    x = 2,489,766.56/1,456.47
  6. Step 6: Final answer
    x = 1,709.45

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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.