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Finding the Fourth Proportional to 3,458.28, 4,769.88 and 2,198.28

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Solution

The fourth proportional to 3,458.28, 4,769.88 and 2,198.28 is: 3,032.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,458.28 : 4,769.88 = 2,198.28 : x
  2. Step 2: Convert to fraction form
    3,458.28/4,769.88 = 2,198.28/x
  3. Step 3: Cross multiply
    3,458.28x = 4,769.88 × 2,198.28
  4. Step 4: Simplify right side
    3,458.28x = 10,485,531.81
  5. Step 5: Solve for x
    x = 10,485,531.81/3,458.28
  6. Step 6: Final answer
    x = 3,032.01

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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.