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Finding the Fourth Proportional to 3,119.97, 4,305.19 and 1,794.10

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Solution

The fourth proportional to 3,119.97, 4,305.19 and 1,794.10 is: 2,475.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,119.97 : 4,305.19 = 1,794.10 : x
  2. Step 2: Convert to fraction form
    3,119.97/4,305.19 = 1,794.10/x
  3. Step 3: Cross multiply
    3,119.97x = 4,305.19 × 1,794.10
  4. Step 4: Simplify right side
    3,119.97x = 7,723,941.38
  5. Step 5: Solve for x
    x = 7,723,941.38/3,119.97
  6. Step 6: Final answer
    x = 2,475.65

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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.