Home / 2,148.19-3,221.50-977.20

Finding the Fourth Proportional to 2,148.19, 3,221.50 and 977.20

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Solution

The fourth proportional to 2,148.19, 3,221.50 and 977.20 is: 1,465.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,148.19 : 3,221.50 = 977.20 : x
  2. Step 2: Convert to fraction form
    2,148.19/3,221.50 = 977.20/x
  3. Step 3: Cross multiply
    2,148.19x = 3,221.50 × 977.20
  4. Step 4: Simplify right side
    2,148.19x = 3,148,049.80
  5. Step 5: Solve for x
    x = 3,148,049.80/2,148.19
  6. Step 6: Final answer
    x = 1,465.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.