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Finding the Fourth Proportional to 2,967.93, 4,453.86 and 1,981.85

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Solution

The fourth proportional to 2,967.93, 4,453.86 and 1,981.85 is: 2,974.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,967.93 : 4,453.86 = 1,981.85 : x
  2. Step 2: Convert to fraction form
    2,967.93/4,453.86 = 1,981.85/x
  3. Step 3: Cross multiply
    2,967.93x = 4,453.86 × 1,981.85
  4. Step 4: Simplify right side
    2,967.93x = 8,826,860.17
  5. Step 5: Solve for x
    x = 8,826,860.17/2,967.93
  6. Step 6: Final answer
    x = 2,974.08

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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.