Home / 2,198.82-3,029.28-1,534.52

Finding the Fourth Proportional to 2,198.82, 3,029.28 and 1,534.52

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Solution

The fourth proportional to 2,198.82, 3,029.28 and 1,534.52 is: 2,114.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.82 : 3,029.28 = 1,534.52 : x
  2. Step 2: Convert to fraction form
    2,198.82/3,029.28 = 1,534.52/x
  3. Step 3: Cross multiply
    2,198.82x = 3,029.28 × 1,534.52
  4. Step 4: Simplify right side
    2,198.82x = 4,648,490.75
  5. Step 5: Solve for x
    x = 4,648,490.75/2,198.82
  6. Step 6: Final answer
    x = 2,114.08

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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.