Home / 2,827.38-3,900.72-2,083.12

Finding the Fourth Proportional to 2,827.38, 3,900.72 and 2,083.12

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Solution

The fourth proportional to 2,827.38, 3,900.72 and 2,083.12 is: 2,873.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,827.38 : 3,900.72 = 2,083.12 : x
  2. Step 2: Convert to fraction form
    2,827.38/3,900.72 = 2,083.12/x
  3. Step 3: Cross multiply
    2,827.38x = 3,900.72 × 2,083.12
  4. Step 4: Simplify right side
    2,827.38x = 8,125,657.12
  5. Step 5: Solve for x
    x = 8,125,657.12/2,827.38
  6. Step 6: Final answer
    x = 2,873.92

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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.