Home / 2,564.46-3,842.10-2,195.64

Finding the Fourth Proportional to 2,564.46, 3,842.10 and 2,195.64

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Solution

The fourth proportional to 2,564.46, 3,842.10 and 2,195.64 is: 3,289.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564.46 : 3,842.10 = 2,195.64 : x
  2. Step 2: Convert to fraction form
    2,564.46/3,842.10 = 2,195.64/x
  3. Step 3: Cross multiply
    2,564.46x = 3,842.10 × 2,195.64
  4. Step 4: Simplify right side
    2,564.46x = 8,435,868.44
  5. Step 5: Solve for x
    x = 8,435,868.44/2,564.46
  6. Step 6: Final answer
    x = 3,289.53

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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.