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Finding the Fourth Proportional to 2,770.66, 3,840.02 and 2,718.82

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Solution

The fourth proportional to 2,770.66, 3,840.02 and 2,718.82 is: 3,768.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,770.66 : 3,840.02 = 2,718.82 : x
  2. Step 2: Convert to fraction form
    2,770.66/3,840.02 = 2,718.82/x
  3. Step 3: Cross multiply
    2,770.66x = 3,840.02 × 2,718.82
  4. Step 4: Simplify right side
    2,770.66x = 10,440,323.18
  5. Step 5: Solve for x
    x = 10,440,323.18/2,770.66
  6. Step 6: Final answer
    x = 3,768.17

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.