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Finding the Fourth Proportional to 2,234.06, 3,352.17 and 918.78

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Solution

The fourth proportional to 2,234.06, 3,352.17 and 918.78 is: 1,378.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,234.06 : 3,352.17 = 918.78 : x
  2. Step 2: Convert to fraction form
    2,234.06/3,352.17 = 918.78/x
  3. Step 3: Cross multiply
    2,234.06x = 3,352.17 × 918.78
  4. Step 4: Simplify right side
    2,234.06x = 3,079,904.66
  5. Step 5: Solve for x
    x = 3,079,904.66/2,234.06
  6. Step 6: Final answer
    x = 1,378.62

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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.