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Finding the Fourth Proportional to 2,234.70, 3,352.18 and 753.80

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Solution

The fourth proportional to 2,234.70, 3,352.18 and 753.80 is: 1,130.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,234.70 : 3,352.18 = 753.80 : x
  2. Step 2: Convert to fraction form
    2,234.70/3,352.18 = 753.80/x
  3. Step 3: Cross multiply
    2,234.70x = 3,352.18 × 753.80
  4. Step 4: Simplify right side
    2,234.70x = 2,526,856.52
  5. Step 5: Solve for x
    x = 2,526,856.52/2,234.70
  6. Step 6: Final answer
    x = 1,130.74

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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.