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Finding the Fourth Proportional to 2,079.67, 3,119.50 and 618.82

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Solution

The fourth proportional to 2,079.67, 3,119.50 and 618.82 is: 928.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,079.67 : 3,119.50 = 618.82 : x
  2. Step 2: Convert to fraction form
    2,079.67/3,119.50 = 618.82/x
  3. Step 3: Cross multiply
    2,079.67x = 3,119.50 × 618.82
  4. Step 4: Simplify right side
    2,079.67x = 1,930,415.24
  5. Step 5: Solve for x
    x = 1,930,415.24/2,079.67
  6. Step 6: Final answer
    x = 928.23

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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.