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Finding the Fourth Proportional to 2,079.57, 2,869.98 and 1,195.65

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Solution

The fourth proportional to 2,079.57, 2,869.98 and 1,195.65 is: 1,650.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,079.57 : 2,869.98 = 1,195.65 : x
  2. Step 2: Convert to fraction form
    2,079.57/2,869.98 = 1,195.65/x
  3. Step 3: Cross multiply
    2,079.57x = 2,869.98 × 1,195.65
  4. Step 4: Simplify right side
    2,079.57x = 3,431,491.59
  5. Step 5: Solve for x
    x = 3,431,491.59/2,079.57
  6. Step 6: Final answer
    x = 1,650.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.