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Finding the Fourth Proportional to 2,079.33, 3,119.19 and 968.50

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Solution

The fourth proportional to 2,079.33, 3,119.19 and 968.50 is: 1,452.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,079.33 : 3,119.19 = 968.50 : x
  2. Step 2: Convert to fraction form
    2,079.33/3,119.19 = 968.50/x
  3. Step 3: Cross multiply
    2,079.33x = 3,119.19 × 968.50
  4. Step 4: Simplify right side
    2,079.33x = 3,020,935.52
  5. Step 5: Solve for x
    x = 3,020,935.52/2,079.33
  6. Step 6: Final answer
    x = 1,452.84

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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.