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Finding the Fourth Proportional to 2,578.53, 3,868.20 and 846.75

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Solution

The fourth proportional to 2,578.53, 3,868.20 and 846.75 is: 1,270.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,578.53 : 3,868.20 = 846.75 : x
  2. Step 2: Convert to fraction form
    2,578.53/3,868.20 = 846.75/x
  3. Step 3: Cross multiply
    2,578.53x = 3,868.20 × 846.75
  4. Step 4: Simplify right side
    2,578.53x = 3,275,398.35
  5. Step 5: Solve for x
    x = 3,275,398.35/2,578.53
  6. Step 6: Final answer
    x = 1,270.26

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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.