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Finding the Fourth Proportional to 2,079.32, 3,119.11 and 846.70

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Solution

The fourth proportional to 2,079.32, 3,119.11 and 846.70 is: 1,270.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,079.32 : 3,119.11 = 846.70 : x
  2. Step 2: Convert to fraction form
    2,079.32/3,119.11 = 846.70/x
  3. Step 3: Cross multiply
    2,079.32x = 3,119.11 × 846.70
  4. Step 4: Simplify right side
    2,079.32x = 2,640,958.07
  5. Step 5: Solve for x
    x = 2,640,958.07/2,079.32
  6. Step 6: Final answer
    x = 1,270.11

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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.