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Finding the Fourth Proportional to 2,254.90, 3,122.13 and 2,197.30

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Solution

The fourth proportional to 2,254.90, 3,122.13 and 2,197.30 is: 3,042.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,254.90 : 3,122.13 = 2,197.30 : x
  2. Step 2: Convert to fraction form
    2,254.90/3,122.13 = 2,197.30/x
  3. Step 3: Cross multiply
    2,254.90x = 3,122.13 × 2,197.30
  4. Step 4: Simplify right side
    2,254.90x = 6,860,256.25
  5. Step 5: Solve for x
    x = 6,860,256.25/2,254.90
  6. Step 6: Final answer
    x = 3,042.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.