Home / 3,178.20-4,767.30-2,083.20

Finding the Fourth Proportional to 3,178.20, 4,767.30 and 2,083.20

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Solution

The fourth proportional to 3,178.20, 4,767.30 and 2,083.20 is: 3,124.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,178.20 : 4,767.30 = 2,083.20 : x
  2. Step 2: Convert to fraction form
    3,178.20/4,767.30 = 2,083.20/x
  3. Step 3: Cross multiply
    3,178.20x = 4,767.30 × 2,083.20
  4. Step 4: Simplify right side
    3,178.20x = 9,931,239.36
  5. Step 5: Solve for x
    x = 9,931,239.36/3,178.20
  6. Step 6: Final answer
    x = 3,124.80

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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.