Home / 2,257.14-3,385.65-1,023.09

Finding the Fourth Proportional to 2,257.14, 3,385.65 and 1,023.09

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Solution

The fourth proportional to 2,257.14, 3,385.65 and 1,023.09 is: 1,534.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257.14 : 3,385.65 = 1,023.09 : x
  2. Step 2: Convert to fraction form
    2,257.14/3,385.65 = 1,023.09/x
  3. Step 3: Cross multiply
    2,257.14x = 3,385.65 × 1,023.09
  4. Step 4: Simplify right side
    2,257.14x = 3,463,824.66
  5. Step 5: Solve for x
    x = 3,463,824.66/2,257.14
  6. Step 6: Final answer
    x = 1,534.61

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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.