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Finding the Fourth Proportional to 2,524.30, 3,785.23 and 880.81

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Solution

The fourth proportional to 2,524.30, 3,785.23 and 880.81 is: 1,320.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,524.30 : 3,785.23 = 880.81 : x
  2. Step 2: Convert to fraction form
    2,524.30/3,785.23 = 880.81/x
  3. Step 3: Cross multiply
    2,524.30x = 3,785.23 × 880.81
  4. Step 4: Simplify right side
    2,524.30x = 3,334,068.44
  5. Step 5: Solve for x
    x = 3,334,068.44/2,524.30
  6. Step 6: Final answer
    x = 1,320.79

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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.