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Finding the Fourth Proportional to 2,643.40, 3,647.84 and 1,448.42

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Solution

The fourth proportional to 2,643.40, 3,647.84 and 1,448.42 is: 1,998.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,643.40 : 3,647.84 = 1,448.42 : x
  2. Step 2: Convert to fraction form
    2,643.40/3,647.84 = 1,448.42/x
  3. Step 3: Cross multiply
    2,643.40x = 3,647.84 × 1,448.42
  4. Step 4: Simplify right side
    2,643.40x = 5,283,604.41
  5. Step 5: Solve for x
    x = 5,283,604.41/2,643.40
  6. Step 6: Final answer
    x = 1,998.79

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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.