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Finding the Fourth Proportional to 2,199.65, 3,280.94 and 2,046.56

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Solution

The fourth proportional to 2,199.65, 3,280.94 and 2,046.56 is: 3,052.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,199.65 : 3,280.94 = 2,046.56 : x
  2. Step 2: Convert to fraction form
    2,199.65/3,280.94 = 2,046.56/x
  3. Step 3: Cross multiply
    2,199.65x = 3,280.94 × 2,046.56
  4. Step 4: Simplify right side
    2,199.65x = 6,714,640.57
  5. Step 5: Solve for x
    x = 6,714,640.57/2,199.65
  6. Step 6: Final answer
    x = 3,052.59

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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.