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Finding the Fourth Proportional to 3,178.32, 4,765.84 and 1,862.56

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Solution

The fourth proportional to 3,178.32, 4,765.84 and 1,862.56 is: 2,792.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,178.32 : 4,765.84 = 1,862.56 : x
  2. Step 2: Convert to fraction form
    3,178.32/4,765.84 = 1,862.56/x
  3. Step 3: Cross multiply
    3,178.32x = 4,765.84 × 1,862.56
  4. Step 4: Simplify right side
    3,178.32x = 8,876,662.95
  5. Step 5: Solve for x
    x = 8,876,662.95/3,178.32
  6. Step 6: Final answer
    x = 2,792.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.