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Finding the Fourth Proportional to 2,079.98, 3,119.10 and 846.55

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Solution

The fourth proportional to 2,079.98, 3,119.10 and 846.55 is: 1,269.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,079.98 : 3,119.10 = 846.55 : x
  2. Step 2: Convert to fraction form
    2,079.98/3,119.10 = 846.55/x
  3. Step 3: Cross multiply
    2,079.98x = 3,119.10 × 846.55
  4. Step 4: Simplify right side
    2,079.98x = 2,640,468.42
  5. Step 5: Solve for x
    x = 2,640,468.42/2,079.98
  6. Step 6: Final answer
    x = 1,269.47

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Why These Related Problems?

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