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Finding the Fourth Proportional to 2,468.32, 3,694.07 and 1,922.99

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Solution

The fourth proportional to 2,468.32, 3,694.07 and 1,922.99 is: 2,877.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,468.32 : 3,694.07 = 1,922.99 : x
  2. Step 2: Convert to fraction form
    2,468.32/3,694.07 = 1,922.99/x
  3. Step 3: Cross multiply
    2,468.32x = 3,694.07 × 1,922.99
  4. Step 4: Simplify right side
    2,468.32x = 7,103,646.01
  5. Step 5: Solve for x
    x = 7,103,646.01/2,468.32
  6. Step 6: Final answer
    x = 2,877.93

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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.