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Finding the Fourth Proportional to 2,250.76, 3,377.66 and 789.93

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Solution

The fourth proportional to 2,250.76, 3,377.66 and 789.93 is: 1,185.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,250.76 : 3,377.66 = 789.93 : x
  2. Step 2: Convert to fraction form
    2,250.76/3,377.66 = 789.93/x
  3. Step 3: Cross multiply
    2,250.76x = 3,377.66 × 789.93
  4. Step 4: Simplify right side
    2,250.76x = 2,668,094.13
  5. Step 5: Solve for x
    x = 2,668,094.13/2,250.76
  6. Step 6: Final answer
    x = 1,185.42

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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.