Home / 2,564.64-3,847.26-921.12

Finding the Fourth Proportional to 2,564.64, 3,847.26 and 921.12

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Solution

The fourth proportional to 2,564.64, 3,847.26 and 921.12 is: 1,381.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564.64 : 3,847.26 = 921.12 : x
  2. Step 2: Convert to fraction form
    2,564.64/3,847.26 = 921.12/x
  3. Step 3: Cross multiply
    2,564.64x = 3,847.26 × 921.12
  4. Step 4: Simplify right side
    2,564.64x = 3,543,788.13
  5. Step 5: Solve for x
    x = 3,543,788.13/2,564.64
  6. Step 6: Final answer
    x = 1,381.79

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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.