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Finding the Fourth Proportional to 2,649.46, 3,974.29 and 800.57

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Solution

The fourth proportional to 2,649.46, 3,974.29 and 800.57 is: 1,200.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,649.46 : 3,974.29 = 800.57 : x
  2. Step 2: Convert to fraction form
    2,649.46/3,974.29 = 800.57/x
  3. Step 3: Cross multiply
    2,649.46x = 3,974.29 × 800.57
  4. Step 4: Simplify right side
    2,649.46x = 3,181,693.34
  5. Step 5: Solve for x
    x = 3,181,693.34/2,649.46
  6. Step 6: Final answer
    x = 1,200.89

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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.