Home / 2,049.20-2,827.88-1,117.68

Finding the Fourth Proportional to 2,049.20, 2,827.88 and 1,117.68

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Solution

The fourth proportional to 2,049.20, 2,827.88 and 1,117.68 is: 1,542.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.20 : 2,827.88 = 1,117.68 : x
  2. Step 2: Convert to fraction form
    2,049.20/2,827.88 = 1,117.68/x
  3. Step 3: Cross multiply
    2,049.20x = 2,827.88 × 1,117.68
  4. Step 4: Simplify right side
    2,049.20x = 3,160,664.92
  5. Step 5: Solve for x
    x = 3,160,664.92/2,049.20
  6. Step 6: Final answer
    x = 1,542.39

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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.