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Finding the Fourth Proportional to 3,047.92, 4,204 and 1,866.92

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Solution

The fourth proportional to 3,047.92, 4,204 and 1,866.92 is: 2,575.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,047.92 : 4,204 = 1,866.92 : x
  2. Step 2: Convert to fraction form
    3,047.92/4,204 = 1,866.92/x
  3. Step 3: Cross multiply
    3,047.92x = 4,204 × 1,866.92
  4. Step 4: Simplify right side
    3,047.92x = 7,848,531.68
  5. Step 5: Solve for x
    x = 7,848,531.68/3,047.92
  6. Step 6: Final answer
    x = 2,575.05

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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.