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Finding the Fourth Proportional to 2,630.82, 3,964.34 and 2,178.78

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Solution

The fourth proportional to 2,630.82, 3,964.34 and 2,178.78 is: 3,283.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,630.82 : 3,964.34 = 2,178.78 : x
  2. Step 2: Convert to fraction form
    2,630.82/3,964.34 = 2,178.78/x
  3. Step 3: Cross multiply
    2,630.82x = 3,964.34 × 2,178.78
  4. Step 4: Simplify right side
    2,630.82x = 8,637,424.71
  5. Step 5: Solve for x
    x = 8,637,424.71/2,630.82
  6. Step 6: Final answer
    x = 3,283.17

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.