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Finding the Fourth Proportional to 2,753.85, 3,800.97 and 1,575.61

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Solution

The fourth proportional to 2,753.85, 3,800.97 and 1,575.61 is: 2,174.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,753.85 : 3,800.97 = 1,575.61 : x
  2. Step 2: Convert to fraction form
    2,753.85/3,800.97 = 1,575.61/x
  3. Step 3: Cross multiply
    2,753.85x = 3,800.97 × 1,575.61
  4. Step 4: Simplify right side
    2,753.85x = 5,988,846.34
  5. Step 5: Solve for x
    x = 5,988,846.34/2,753.85
  6. Step 6: Final answer
    x = 2,174.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.