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Finding the Fourth Proportional to 2,197.20, 3,080.40 and 2,197.20

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Solution

The fourth proportional to 2,197.20, 3,080.40 and 2,197.20 is: 3,080.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,197.20 : 3,080.40 = 2,197.20 : x
  2. Step 2: Convert to fraction form
    2,197.20/3,080.40 = 2,197.20/x
  3. Step 3: Cross multiply
    2,197.20x = 3,080.40 × 2,197.20
  4. Step 4: Simplify right side
    2,197.20x = 6,768,254.88
  5. Step 5: Solve for x
    x = 6,768,254.88/2,197.20
  6. Step 6: Final answer
    x = 3,080.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.