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Finding the Fourth Proportional to 1,863.49, 2,794.01 and 1,041.85

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Solution

The fourth proportional to 1,863.49, 2,794.01 and 1,041.85 is: 1,562.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,863.49 : 2,794.01 = 1,041.85 : x
  2. Step 2: Convert to fraction form
    1,863.49/2,794.01 = 1,041.85/x
  3. Step 3: Cross multiply
    1,863.49x = 2,794.01 × 1,041.85
  4. Step 4: Simplify right side
    1,863.49x = 2,910,920.14
  5. Step 5: Solve for x
    x = 2,910,920.14/1,863.49
  6. Step 6: Final answer
    x = 1,562.08

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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.