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Finding the Fourth Proportional to 2,643.84, 3,647.03 and 2,456.12

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Solution

The fourth proportional to 2,643.84, 3,647.03 and 2,456.12 is: 3,388.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,643.84 : 3,647.03 = 2,456.12 : x
  2. Step 2: Convert to fraction form
    2,643.84/3,647.03 = 2,456.12/x
  3. Step 3: Cross multiply
    2,643.84x = 3,647.03 × 2,456.12
  4. Step 4: Simplify right side
    2,643.84x = 8,957,540.16
  5. Step 5: Solve for x
    x = 8,957,540.16/2,643.84
  6. Step 6: Final answer
    x = 3,388.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.