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Finding the Fourth Proportional to 2,079.56, 2,869.81 and 1,195.43

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Solution

The fourth proportional to 2,079.56, 2,869.81 and 1,195.43 is: 1,649.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,079.56 : 2,869.81 = 1,195.43 : x
  2. Step 2: Convert to fraction form
    2,079.56/2,869.81 = 1,195.43/x
  3. Step 3: Cross multiply
    2,079.56x = 2,869.81 × 1,195.43
  4. Step 4: Simplify right side
    2,079.56x = 3,430,639.63
  5. Step 5: Solve for x
    x = 3,430,639.63/2,079.56
  6. Step 6: Final answer
    x = 1,649.69

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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.