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Finding the Fourth Proportional to 2,342.70, 3,514.05 and 2,234.70

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Solution

The fourth proportional to 2,342.70, 3,514.05 and 2,234.70 is: 3,352.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,342.70 : 3,514.05 = 2,234.70 : x
  2. Step 2: Convert to fraction form
    2,342.70/3,514.05 = 2,234.70/x
  3. Step 3: Cross multiply
    2,342.70x = 3,514.05 × 2,234.70
  4. Step 4: Simplify right side
    2,342.70x = 7,852,847.54
  5. Step 5: Solve for x
    x = 7,852,847.54/2,342.70
  6. Step 6: Final answer
    x = 3,352.05

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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.