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Finding the Fourth Proportional to 2,079.34, 3,115.96 and 969.10

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Solution

The fourth proportional to 2,079.34, 3,115.96 and 969.10 is: 1,452.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,079.34 : 3,115.96 = 969.10 : x
  2. Step 2: Convert to fraction form
    2,079.34/3,115.96 = 969.10/x
  3. Step 3: Cross multiply
    2,079.34x = 3,115.96 × 969.10
  4. Step 4: Simplify right side
    2,079.34x = 3,019,676.84
  5. Step 5: Solve for x
    x = 3,019,676.84/2,079.34
  6. Step 6: Final answer
    x = 1,452.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.