Home / 2,784.20-3,842.10-1,542.20

Finding the Fourth Proportional to 2,784.20, 3,842.10 and 1,542.20

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Solution

The fourth proportional to 2,784.20, 3,842.10 and 1,542.20 is: 2,128.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.20 : 3,842.10 = 1,542.20 : x
  2. Step 2: Convert to fraction form
    2,784.20/3,842.10 = 1,542.20/x
  3. Step 3: Cross multiply
    2,784.20x = 3,842.10 × 1,542.20
  4. Step 4: Simplify right side
    2,784.20x = 5,925,286.62
  5. Step 5: Solve for x
    x = 5,925,286.62/2,784.20
  6. Step 6: Final answer
    x = 2,128.18

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1.5x scale

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.