Home / 2,564.88-3,847.32-1,468.49

Finding the Fourth Proportional to 2,564.88, 3,847.32 and 1,468.49

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Solution

The fourth proportional to 2,564.88, 3,847.32 and 1,468.49 is: 2,202.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564.88 : 3,847.32 = 1,468.49 : x
  2. Step 2: Convert to fraction form
    2,564.88/3,847.32 = 1,468.49/x
  3. Step 3: Cross multiply
    2,564.88x = 3,847.32 × 1,468.49
  4. Step 4: Simplify right side
    2,564.88x = 5,649,731.71
  5. Step 5: Solve for x
    x = 5,649,731.71/2,564.88
  6. Step 6: Final answer
    x = 2,202.73

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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.