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Finding the Fourth Proportional to 2,882.88, 4,320.26 and 1,648.44

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Solution

The fourth proportional to 2,882.88, 4,320.26 and 1,648.44 is: 2,470.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,882.88 : 4,320.26 = 1,648.44 : x
  2. Step 2: Convert to fraction form
    2,882.88/4,320.26 = 1,648.44/x
  3. Step 3: Cross multiply
    2,882.88x = 4,320.26 × 1,648.44
  4. Step 4: Simplify right side
    2,882.88x = 7,121,689.39
  5. Step 5: Solve for x
    x = 7,121,689.39/2,882.88
  6. Step 6: Final answer
    x = 2,470.34

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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.