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Finding the Fourth Proportional to 3,298.88, 4,552.34 and 1,972.28

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Solution

The fourth proportional to 3,298.88, 4,552.34 and 1,972.28 is: 2,721.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,298.88 : 4,552.34 = 1,972.28 : x
  2. Step 2: Convert to fraction form
    3,298.88/4,552.34 = 1,972.28/x
  3. Step 3: Cross multiply
    3,298.88x = 4,552.34 × 1,972.28
  4. Step 4: Simplify right side
    3,298.88x = 8,978,489.14
  5. Step 5: Solve for x
    x = 8,978,489.14/3,298.88
  6. Step 6: Final answer
    x = 2,721.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.