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Finding the Fourth Proportional to 2,828.84, 4,238.30 and 2,722.28

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Solution

The fourth proportional to 2,828.84, 4,238.30 and 2,722.28 is: 4,078.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,828.84 : 4,238.30 = 2,722.28 : x
  2. Step 2: Convert to fraction form
    2,828.84/4,238.30 = 2,722.28/x
  3. Step 3: Cross multiply
    2,828.84x = 4,238.30 × 2,722.28
  4. Step 4: Simplify right side
    2,828.84x = 11,537,839.32
  5. Step 5: Solve for x
    x = 11,537,839.32/2,828.84
  6. Step 6: Final answer
    x = 4,078.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.