Home / 2,076.20-3,114.30-778.18

Finding the Fourth Proportional to 2,076.20, 3,114.30 and 778.18

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Solution

The fourth proportional to 2,076.20, 3,114.30 and 778.18 is: 1,167.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,076.20 : 3,114.30 = 778.18 : x
  2. Step 2: Convert to fraction form
    2,076.20/3,114.30 = 778.18/x
  3. Step 3: Cross multiply
    2,076.20x = 3,114.30 × 778.18
  4. Step 4: Simplify right side
    2,076.20x = 2,423,470.40
  5. Step 5: Solve for x
    x = 2,423,470.40/2,076.20
  6. Step 6: Final answer
    x = 1,167.26

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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.