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Finding the Fourth Proportional to 2,257.98, 3,383.94 and 1,023.86

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Solution

The fourth proportional to 2,257.98, 3,383.94 and 1,023.86 is: 1,534.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257.98 : 3,383.94 = 1,023.86 : x
  2. Step 2: Convert to fraction form
    2,257.98/3,383.94 = 1,023.86/x
  3. Step 3: Cross multiply
    2,257.98x = 3,383.94 × 1,023.86
  4. Step 4: Simplify right side
    2,257.98x = 3,464,680.81
  5. Step 5: Solve for x
    x = 3,464,680.81/2,257.98
  6. Step 6: Final answer
    x = 1,534.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.