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Finding the Fourth Proportional to 2,254.32, 3,381.75 and 793.17

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Solution

The fourth proportional to 2,254.32, 3,381.75 and 793.17 is: 1,189.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,254.32 : 3,381.75 = 793.17 : x
  2. Step 2: Convert to fraction form
    2,254.32/3,381.75 = 793.17/x
  3. Step 3: Cross multiply
    2,254.32x = 3,381.75 × 793.17
  4. Step 4: Simplify right side
    2,254.32x = 2,682,302.65
  5. Step 5: Solve for x
    x = 2,682,302.65/2,254.32
  6. Step 6: Final answer
    x = 1,189.85

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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.