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Finding the Fourth Proportional to 2,200.97, 3,302.01 and 1,552.97

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Solution

The fourth proportional to 2,200.97, 3,302.01 and 1,552.97 is: 2,329.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,200.97 : 3,302.01 = 1,552.97 : x
  2. Step 2: Convert to fraction form
    2,200.97/3,302.01 = 1,552.97/x
  3. Step 3: Cross multiply
    2,200.97x = 3,302.01 × 1,552.97
  4. Step 4: Simplify right side
    2,200.97x = 5,127,914.70
  5. Step 5: Solve for x
    x = 5,127,914.70/2,200.97
  6. Step 6: Final answer
    x = 2,329.84

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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.