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Finding the Fourth Proportional to 3,059.38, 4,589.25 and 867.94

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Solution

The fourth proportional to 3,059.38, 4,589.25 and 867.94 is: 1,301.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,059.38 : 4,589.25 = 867.94 : x
  2. Step 2: Convert to fraction form
    3,059.38/4,589.25 = 867.94/x
  3. Step 3: Cross multiply
    3,059.38x = 4,589.25 × 867.94
  4. Step 4: Simplify right side
    3,059.38x = 3,983,178.92
  5. Step 5: Solve for x
    x = 3,983,178.92/3,059.38
  6. Step 6: Final answer
    x = 1,301.96

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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.