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Finding the Fourth Proportional to 1,843.01, 2,764.80 and 610.49

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Solution

The fourth proportional to 1,843.01, 2,764.80 and 610.49 is: 915.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,843.01 : 2,764.80 = 610.49 : x
  2. Step 2: Convert to fraction form
    1,843.01/2,764.80 = 610.49/x
  3. Step 3: Cross multiply
    1,843.01x = 2,764.80 × 610.49
  4. Step 4: Simplify right side
    1,843.01x = 1,687,868.93
  5. Step 5: Solve for x
    x = 1,687,868.93/1,843.01
  6. Step 6: Final answer
    x = 915.82

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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.