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Finding the Fourth Proportional to 2,805.83, 3,874.00 and 1,744.07

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Solution

The fourth proportional to 2,805.83, 3,874.00 and 1,744.07 is: 2,408.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,805.83 : 3,874.00 = 1,744.07 : x
  2. Step 2: Convert to fraction form
    2,805.83/3,874.00 = 1,744.07/x
  3. Step 3: Cross multiply
    2,805.83x = 3,874.00 × 1,744.07
  4. Step 4: Simplify right side
    2,805.83x = 6,756,544.31
  5. Step 5: Solve for x
    x = 6,756,544.31/2,805.83
  6. Step 6: Final answer
    x = 2,408.04

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1.5x scale

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.