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Finding the Fourth Proportional to 2,294.32, 3,439.26 and 832.48

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Solution

The fourth proportional to 2,294.32, 3,439.26 and 832.48 is: 1,247.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.32 : 3,439.26 = 832.48 : x
  2. Step 2: Convert to fraction form
    2,294.32/3,439.26 = 832.48/x
  3. Step 3: Cross multiply
    2,294.32x = 3,439.26 × 832.48
  4. Step 4: Simplify right side
    2,294.32x = 2,863,115.16
  5. Step 5: Solve for x
    x = 2,863,115.16/2,294.32
  6. Step 6: Final answer
    x = 1,247.91

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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.