Home / 2,257.20-3,380.64-1,560.70

Finding the Fourth Proportional to 2,257.20, 3,380.64 and 1,560.70

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Solution

The fourth proportional to 2,257.20, 3,380.64 and 1,560.70 is: 2,337.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257.20 : 3,380.64 = 1,560.70 : x
  2. Step 2: Convert to fraction form
    2,257.20/3,380.64 = 1,560.70/x
  3. Step 3: Cross multiply
    2,257.20x = 3,380.64 × 1,560.70
  4. Step 4: Simplify right side
    2,257.20x = 5,276,164.85
  5. Step 5: Solve for x
    x = 5,276,164.85/2,257.20
  6. Step 6: Final answer
    x = 2,337.48

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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.