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Finding the Fourth Proportional to 2,839.24, 4,258.62 and 787.24

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Solution

The fourth proportional to 2,839.24, 4,258.62 and 787.24 is: 1,180.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,839.24 : 4,258.62 = 787.24 : x
  2. Step 2: Convert to fraction form
    2,839.24/4,258.62 = 787.24/x
  3. Step 3: Cross multiply
    2,839.24x = 4,258.62 × 787.24
  4. Step 4: Simplify right side
    2,839.24x = 3,352,556.01
  5. Step 5: Solve for x
    x = 3,352,556.01/2,839.24
  6. Step 6: Final answer
    x = 1,180.79

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1.5x scale

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.