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Finding the Fourth Proportional to 2,193.80, 3,293.10 and 1,221.80

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Solution

The fourth proportional to 2,193.80, 3,293.10 and 1,221.80 is: 1,834.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,193.80 : 3,293.10 = 1,221.80 : x
  2. Step 2: Convert to fraction form
    2,193.80/3,293.10 = 1,221.80/x
  3. Step 3: Cross multiply
    2,193.80x = 3,293.10 × 1,221.80
  4. Step 4: Simplify right side
    2,193.80x = 4,023,509.58
  5. Step 5: Solve for x
    x = 4,023,509.58/2,193.80
  6. Step 6: Final answer
    x = 1,834.04

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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.