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Finding the Fourth Proportional to 2,665.10, 3,993.20 and 1,883.66

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Solution

The fourth proportional to 2,665.10, 3,993.20 and 1,883.66 is: 2,822.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,665.10 : 3,993.20 = 1,883.66 : x
  2. Step 2: Convert to fraction form
    2,665.10/3,993.20 = 1,883.66/x
  3. Step 3: Cross multiply
    2,665.10x = 3,993.20 × 1,883.66
  4. Step 4: Simplify right side
    2,665.10x = 7,521,808.79
  5. Step 5: Solve for x
    x = 7,521,808.79/2,665.10
  6. Step 6: Final answer
    x = 2,822.33

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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.