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Finding the Fourth Proportional to 2,833.75, 4,250.87 and 781.75

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Solution

The fourth proportional to 2,833.75, 4,250.87 and 781.75 is: 1,172.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,833.75 : 4,250.87 = 781.75 : x
  2. Step 2: Convert to fraction form
    2,833.75/4,250.87 = 781.75/x
  3. Step 3: Cross multiply
    2,833.75x = 4,250.87 × 781.75
  4. Step 4: Simplify right side
    2,833.75x = 3,323,117.62
  5. Step 5: Solve for x
    x = 3,323,117.62/2,833.75
  6. Step 6: Final answer
    x = 1,172.69

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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.