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Finding the Fourth Proportional to 2,770.95, 3,824.03 and 1,575.61

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Solution

The fourth proportional to 2,770.95, 3,824.03 and 1,575.61 is: 2,174.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,770.95 : 3,824.03 = 1,575.61 : x
  2. Step 2: Convert to fraction form
    2,770.95/3,824.03 = 1,575.61/x
  3. Step 3: Cross multiply
    2,770.95x = 3,824.03 × 1,575.61
  4. Step 4: Simplify right side
    2,770.95x = 6,025,179.91
  5. Step 5: Solve for x
    x = 6,025,179.91/2,770.95
  6. Step 6: Final answer
    x = 2,174.41

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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.