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Finding the Fourth Proportional to 2,643.87, 3,648.48 and 1,524.80

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Solution

The fourth proportional to 2,643.87, 3,648.48 and 1,524.80 is: 2,104.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,643.87 : 3,648.48 = 1,524.80 : x
  2. Step 2: Convert to fraction form
    2,643.87/3,648.48 = 1,524.80/x
  3. Step 3: Cross multiply
    2,643.87x = 3,648.48 × 1,524.80
  4. Step 4: Simplify right side
    2,643.87x = 5,563,202.30
  5. Step 5: Solve for x
    x = 5,563,202.30/2,643.87
  6. Step 6: Final answer
    x = 2,104.19

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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.