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Finding the Fourth Proportional to 2,794.30, 3,855.60 and 1,799.38

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Solution

The fourth proportional to 2,794.30, 3,855.60 and 1,799.38 is: 2,482.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,794.30 : 3,855.60 = 1,799.38 : x
  2. Step 2: Convert to fraction form
    2,794.30/3,855.60 = 1,799.38/x
  3. Step 3: Cross multiply
    2,794.30x = 3,855.60 × 1,799.38
  4. Step 4: Simplify right side
    2,794.30x = 6,937,689.53
  5. Step 5: Solve for x
    x = 6,937,689.53/2,794.30
  6. Step 6: Final answer
    x = 2,482.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.