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Finding the Fourth Proportional to 3,121.95, 4,682.93 and 1,974.99

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Solution

The fourth proportional to 3,121.95, 4,682.93 and 1,974.99 is: 2,962.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,121.95 : 4,682.93 = 1,974.99 : x
  2. Step 2: Convert to fraction form
    3,121.95/4,682.93 = 1,974.99/x
  3. Step 3: Cross multiply
    3,121.95x = 4,682.93 × 1,974.99
  4. Step 4: Simplify right side
    3,121.95x = 9,248,739.92
  5. Step 5: Solve for x
    x = 9,248,739.92/3,121.95
  6. Step 6: Final answer
    x = 2,962.49

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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.