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Finding the Fourth Proportional to 2,661.65, 4,005.75 and 2,006.90

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Solution

The fourth proportional to 2,661.65, 4,005.75 and 2,006.90 is: 3,020.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,661.65 : 4,005.75 = 2,006.90 : x
  2. Step 2: Convert to fraction form
    2,661.65/4,005.75 = 2,006.90/x
  3. Step 3: Cross multiply
    2,661.65x = 4,005.75 × 2,006.90
  4. Step 4: Simplify right side
    2,661.65x = 8,039,139.68
  5. Step 5: Solve for x
    x = 8,039,139.68/2,661.65
  6. Step 6: Final answer
    x = 3,020.36

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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.