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Finding the Fourth Proportional to 2,193.96, 3,005.91 and 2,166.65

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Solution

The fourth proportional to 2,193.96, 3,005.91 and 2,166.65 is: 2,968.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,193.96 : 3,005.91 = 2,166.65 : x
  2. Step 2: Convert to fraction form
    2,193.96/3,005.91 = 2,166.65/x
  3. Step 3: Cross multiply
    2,193.96x = 3,005.91 × 2,166.65
  4. Step 4: Simplify right side
    2,193.96x = 6,512,739.87
  5. Step 5: Solve for x
    x = 6,512,739.87/2,193.96
  6. Step 6: Final answer
    x = 2,968.49

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.