Home / 2,464.20-3,697.20-1,164.78

Finding the Fourth Proportional to 2,464.20, 3,697.20 and 1,164.78

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Solution

The fourth proportional to 2,464.20, 3,697.20 and 1,164.78 is: 1,747.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,464.20 : 3,697.20 = 1,164.78 : x
  2. Step 2: Convert to fraction form
    2,464.20/3,697.20 = 1,164.78/x
  3. Step 3: Cross multiply
    2,464.20x = 3,697.20 × 1,164.78
  4. Step 4: Simplify right side
    2,464.20x = 4,306,424.62
  5. Step 5: Solve for x
    x = 4,306,424.62/2,464.20
  6. Step 6: Final answer
    x = 1,747.60

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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.