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Finding the Fourth Proportional to 2,523.34, 3,785.55 and 881.20

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Solution

The fourth proportional to 2,523.34, 3,785.55 and 881.20 is: 1,321.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,523.34 : 3,785.55 = 881.20 : x
  2. Step 2: Convert to fraction form
    2,523.34/3,785.55 = 881.20/x
  3. Step 3: Cross multiply
    2,523.34x = 3,785.55 × 881.20
  4. Step 4: Simplify right side
    2,523.34x = 3,335,826.66
  5. Step 5: Solve for x
    x = 3,335,826.66/2,523.34
  6. Step 6: Final answer
    x = 1,321.99

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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.