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Finding the Fourth Proportional to 2,006.66, 2,995.10 and 1,883.54

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Solution

The fourth proportional to 2,006.66, 2,995.10 and 1,883.54 is: 2,811.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006.66 : 2,995.10 = 1,883.54 : x
  2. Step 2: Convert to fraction form
    2,006.66/2,995.10 = 1,883.54/x
  3. Step 3: Cross multiply
    2,006.66x = 2,995.10 × 1,883.54
  4. Step 4: Simplify right side
    2,006.66x = 5,641,390.65
  5. Step 5: Solve for x
    x = 5,641,390.65/2,006.66
  6. Step 6: Final answer
    x = 2,811.33

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.