Home / 2,738.28-4,104.50-1,565.76

Finding the Fourth Proportional to 2,738.28, 4,104.50 and 1,565.76

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Solution

The fourth proportional to 2,738.28, 4,104.50 and 1,565.76 is: 2,346.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,738.28 : 4,104.50 = 1,565.76 : x
  2. Step 2: Convert to fraction form
    2,738.28/4,104.50 = 1,565.76/x
  3. Step 3: Cross multiply
    2,738.28x = 4,104.50 × 1,565.76
  4. Step 4: Simplify right side
    2,738.28x = 6,426,661.92
  5. Step 5: Solve for x
    x = 6,426,661.92/2,738.28
  6. Step 6: Final answer
    x = 2,346.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.