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Finding the Fourth Proportional to 2,079.67, 2,869.94 and 1,195.64

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Solution

The fourth proportional to 2,079.67, 2,869.94 and 1,195.64 is: 1,649.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,079.67 : 2,869.94 = 1,195.64 : x
  2. Step 2: Convert to fraction form
    2,079.67/2,869.94 = 1,195.64/x
  3. Step 3: Cross multiply
    2,079.67x = 2,869.94 × 1,195.64
  4. Step 4: Simplify right side
    2,079.67x = 3,431,412.07
  5. Step 5: Solve for x
    x = 3,431,412.07/2,079.67
  6. Step 6: Final answer
    x = 1,649.98

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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.