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Finding the Fourth Proportional to 2,335.26, 3,500.86 and 874.42

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Solution

The fourth proportional to 2,335.26, 3,500.86 and 874.42 is: 1,310.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,335.26 : 3,500.86 = 874.42 : x
  2. Step 2: Convert to fraction form
    2,335.26/3,500.86 = 874.42/x
  3. Step 3: Cross multiply
    2,335.26x = 3,500.86 × 874.42
  4. Step 4: Simplify right side
    2,335.26x = 3,061,222.00
  5. Step 5: Solve for x
    x = 3,061,222.00/2,335.26
  6. Step 6: Final answer
    x = 1,310.87

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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.