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Finding the Fourth Proportional to 2,079.16, 3,119.17 and 846.57

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Solution

The fourth proportional to 2,079.16, 3,119.17 and 846.57 is: 1,270.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,079.16 : 3,119.17 = 846.57 : x
  2. Step 2: Convert to fraction form
    2,079.16/3,119.17 = 846.57/x
  3. Step 3: Cross multiply
    2,079.16x = 3,119.17 × 846.57
  4. Step 4: Simplify right side
    2,079.16x = 2,640,595.75
  5. Step 5: Solve for x
    x = 2,640,595.75/2,079.16
  6. Step 6: Final answer
    x = 1,270.03

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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.