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Finding the Fourth Proportional to 2,827.84, 4,235.28 and 2,668

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Solution

The fourth proportional to 2,827.84, 4,235.28 and 2,668 is: 3,995.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,827.84 : 4,235.28 = 2,668 : x
  2. Step 2: Convert to fraction form
    2,827.84/4,235.28 = 2,668/x
  3. Step 3: Cross multiply
    2,827.84x = 4,235.28 × 2,668
  4. Step 4: Simplify right side
    2,827.84x = 11,299,727.04
  5. Step 5: Solve for x
    x = 11,299,727.04/2,827.84
  6. Step 6: Final answer
    x = 3,995.89

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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.