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Finding the Fourth Proportional to 2,759.84, 3,809.44 and 2,201.28

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Solution

The fourth proportional to 2,759.84, 3,809.44 and 2,201.28 is: 3,038.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,759.84 : 3,809.44 = 2,201.28 : x
  2. Step 2: Convert to fraction form
    2,759.84/3,809.44 = 2,201.28/x
  3. Step 3: Cross multiply
    2,759.84x = 3,809.44 × 2,201.28
  4. Step 4: Simplify right side
    2,759.84x = 8,385,644.08
  5. Step 5: Solve for x
    x = 8,385,644.08/2,759.84
  6. Step 6: Final answer
    x = 3,038.45

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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.