Home / 2,198.28-3,031.92-1,412.40

Finding the Fourth Proportional to 2,198.28, 3,031.92 and 1,412.40

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Solution

The fourth proportional to 2,198.28, 3,031.92 and 1,412.40 is: 1,948.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.28 : 3,031.92 = 1,412.40 : x
  2. Step 2: Convert to fraction form
    2,198.28/3,031.92 = 1,412.40/x
  3. Step 3: Cross multiply
    2,198.28x = 3,031.92 × 1,412.40
  4. Step 4: Simplify right side
    2,198.28x = 4,282,283.81
  5. Step 5: Solve for x
    x = 4,282,283.81/2,198.28
  6. Step 6: Final answer
    x = 1,948.02

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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.