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Finding the Fourth Proportional to 1,842.98, 2,764.58 and 610.49

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Solution

The fourth proportional to 1,842.98, 2,764.58 and 610.49 is: 915.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,842.98 : 2,764.58 = 610.49 : x
  2. Step 2: Convert to fraction form
    1,842.98/2,764.58 = 610.49/x
  3. Step 3: Cross multiply
    1,842.98x = 2,764.58 × 610.49
  4. Step 4: Simplify right side
    1,842.98x = 1,687,752.30
  5. Step 5: Solve for x
    x = 1,687,752.30/1,842.98
  6. Step 6: Final answer
    x = 915.78

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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.