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Finding the Fourth Proportional to 2,255.67, 3,383.93 and 1,023.17

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Solution

The fourth proportional to 2,255.67, 3,383.93 and 1,023.17 is: 1,534.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,255.67 : 3,383.93 = 1,023.17 : x
  2. Step 2: Convert to fraction form
    2,255.67/3,383.93 = 1,023.17/x
  3. Step 3: Cross multiply
    2,255.67x = 3,383.93 × 1,023.17
  4. Step 4: Simplify right side
    2,255.67x = 3,462,337.90
  5. Step 5: Solve for x
    x = 3,462,337.90/2,255.67
  6. Step 6: Final answer
    x = 1,534.95

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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.