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Finding the Fourth Proportional to 2,023.54, 2,792.01 and 1,184.11

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Solution

The fourth proportional to 2,023.54, 2,792.01 and 1,184.11 is: 1,633.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023.54 : 2,792.01 = 1,184.11 : x
  2. Step 2: Convert to fraction form
    2,023.54/2,792.01 = 1,184.11/x
  3. Step 3: Cross multiply
    2,023.54x = 2,792.01 × 1,184.11
  4. Step 4: Simplify right side
    2,023.54x = 3,306,046.96
  5. Step 5: Solve for x
    x = 3,306,046.96/2,023.54
  6. Step 6: Final answer
    x = 1,633.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.