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Finding the Fourth Proportional to 2,207.54, 3,311.61 and 746.30

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Solution

The fourth proportional to 2,207.54, 3,311.61 and 746.30 is: 1,119.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,207.54 : 3,311.61 = 746.30 : x
  2. Step 2: Convert to fraction form
    2,207.54/3,311.61 = 746.30/x
  3. Step 3: Cross multiply
    2,207.54x = 3,311.61 × 746.30
  4. Step 4: Simplify right side
    2,207.54x = 2,471,437.98
  5. Step 5: Solve for x
    x = 2,471,437.98/2,207.54
  6. Step 6: Final answer
    x = 1,119.55

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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.