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Finding the Fourth Proportional to 2,833.80, 4,251.16 and 986.02

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Solution

The fourth proportional to 2,833.80, 4,251.16 and 986.02 is: 1,479.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,833.80 : 4,251.16 = 986.02 : x
  2. Step 2: Convert to fraction form
    2,833.80/4,251.16 = 986.02/x
  3. Step 3: Cross multiply
    2,833.80x = 4,251.16 × 986.02
  4. Step 4: Simplify right side
    2,833.80x = 4,191,728.78
  5. Step 5: Solve for x
    x = 4,191,728.78/2,833.80
  6. Step 6: Final answer
    x = 1,479.19

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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.