Home / 2,197.02-3,031.77-1,202.12

Finding the Fourth Proportional to 2,197.02, 3,031.77 and 1,202.12

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Solution

The fourth proportional to 2,197.02, 3,031.77 and 1,202.12 is: 1,658.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,197.02 : 3,031.77 = 1,202.12 : x
  2. Step 2: Convert to fraction form
    2,197.02/3,031.77 = 1,202.12/x
  3. Step 3: Cross multiply
    2,197.02x = 3,031.77 × 1,202.12
  4. Step 4: Simplify right side
    2,197.02x = 3,644,536.19
  5. Step 5: Solve for x
    x = 3,644,536.19/2,197.02
  6. Step 6: Final answer
    x = 1,658.85

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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.