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Finding the Fourth Proportional to 2,839.84, 4,260.48 and 1,452.64

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Solution

The fourth proportional to 2,839.84, 4,260.48 and 1,452.64 is: 2,179.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,839.84 : 4,260.48 = 1,452.64 : x
  2. Step 2: Convert to fraction form
    2,839.84/4,260.48 = 1,452.64/x
  3. Step 3: Cross multiply
    2,839.84x = 4,260.48 × 1,452.64
  4. Step 4: Simplify right side
    2,839.84x = 6,188,943.67
  5. Step 5: Solve for x
    x = 6,188,943.67/2,839.84
  6. Step 6: Final answer
    x = 2,179.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.