Home / 2,118.40-3,177.56-819.12

Finding the Fourth Proportional to 2,118.40, 3,177.56 and 819.12

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Solution

The fourth proportional to 2,118.40, 3,177.56 and 819.12 is: 1,228.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,118.40 : 3,177.56 = 819.12 : x
  2. Step 2: Convert to fraction form
    2,118.40/3,177.56 = 819.12/x
  3. Step 3: Cross multiply
    2,118.40x = 3,177.56 × 819.12
  4. Step 4: Simplify right side
    2,118.40x = 2,602,802.95
  5. Step 5: Solve for x
    x = 2,602,802.95/2,118.40
  6. Step 6: Final answer
    x = 1,228.66

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1.5x scale

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.