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Finding the Fourth Proportional to 2,347.20, 3,520.80 and 2,212.80

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Solution

The fourth proportional to 2,347.20, 3,520.80 and 2,212.80 is: 3,319.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,347.20 : 3,520.80 = 2,212.80 : x
  2. Step 2: Convert to fraction form
    2,347.20/3,520.80 = 2,212.80/x
  3. Step 3: Cross multiply
    2,347.20x = 3,520.80 × 2,212.80
  4. Step 4: Simplify right side
    2,347.20x = 7,790,826.24
  5. Step 5: Solve for x
    x = 7,790,826.24/2,347.20
  6. Step 6: Final answer
    x = 3,319.20

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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.