Home / 2,049.50-2,828.32-1,118

Finding the Fourth Proportional to 2,049.50, 2,828.32 and 1,118

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Solution

The fourth proportional to 2,049.50, 2,828.32 and 1,118 is: 1,542.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.50 : 2,828.32 = 1,118 : x
  2. Step 2: Convert to fraction form
    2,049.50/2,828.32 = 1,118/x
  3. Step 3: Cross multiply
    2,049.50x = 2,828.32 × 1,118
  4. Step 4: Simplify right side
    2,049.50x = 3,162,061.76
  5. Step 5: Solve for x
    x = 3,162,061.76/2,049.50
  6. Step 6: Final answer
    x = 1,542.85

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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.