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Finding the Fourth Proportional to 2,794.84, 4,166.56 and 2,663.64

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Solution

The fourth proportional to 2,794.84, 4,166.56 and 2,663.64 is: 3,970.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,794.84 : 4,166.56 = 2,663.64 : x
  2. Step 2: Convert to fraction form
    2,794.84/4,166.56 = 2,663.64/x
  3. Step 3: Cross multiply
    2,794.84x = 4,166.56 × 2,663.64
  4. Step 4: Simplify right side
    2,794.84x = 11,098,215.88
  5. Step 5: Solve for x
    x = 11,098,215.88/2,794.84
  6. Step 6: Final answer
    x = 3,970.97

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.