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Finding the Fourth Proportional to 2,838.91, 4,258.02 and 759.07

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Solution

The fourth proportional to 2,838.91, 4,258.02 and 759.07 is: 1,138.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,838.91 : 4,258.02 = 759.07 : x
  2. Step 2: Convert to fraction form
    2,838.91/4,258.02 = 759.07/x
  3. Step 3: Cross multiply
    2,838.91x = 4,258.02 × 759.07
  4. Step 4: Simplify right side
    2,838.91x = 3,232,135.24
  5. Step 5: Solve for x
    x = 3,232,135.24/2,838.91
  6. Step 6: Final answer
    x = 1,138.51

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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.