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Finding the Fourth Proportional to 2,500.91, 3,751.90 and 857.02

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Solution

The fourth proportional to 2,500.91, 3,751.90 and 857.02 is: 1,285.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,500.91 : 3,751.90 = 857.02 : x
  2. Step 2: Convert to fraction form
    2,500.91/3,751.90 = 857.02/x
  3. Step 3: Cross multiply
    2,500.91x = 3,751.90 × 857.02
  4. Step 4: Simplify right side
    2,500.91x = 3,215,441.82
  5. Step 5: Solve for x
    x = 3,215,441.82/2,500.91
  6. Step 6: Final answer
    x = 1,285.71

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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.