Home / 2,082.86-2,874.34-1,138.66

Finding the Fourth Proportional to 2,082.86, 2,874.34 and 1,138.66

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Solution

The fourth proportional to 2,082.86, 2,874.34 and 1,138.66 is: 1,571.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.86 : 2,874.34 = 1,138.66 : x
  2. Step 2: Convert to fraction form
    2,082.86/2,874.34 = 1,138.66/x
  3. Step 3: Cross multiply
    2,082.86x = 2,874.34 × 1,138.66
  4. Step 4: Simplify right side
    2,082.86x = 3,272,875.92
  5. Step 5: Solve for x
    x = 3,272,875.92/2,082.86
  6. Step 6: Final answer
    x = 1,571.34

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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.