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Finding the Fourth Proportional to 2,770.79, 3,840.19 and 2,718.95

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Solution

The fourth proportional to 2,770.79, 3,840.19 and 2,718.95 is: 3,768.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,770.79 : 3,840.19 = 2,718.95 : x
  2. Step 2: Convert to fraction form
    2,770.79/3,840.19 = 2,718.95/x
  3. Step 3: Cross multiply
    2,770.79x = 3,840.19 × 2,718.95
  4. Step 4: Simplify right side
    2,770.79x = 10,441,258.60
  5. Step 5: Solve for x
    x = 10,441,258.60/2,770.79
  6. Step 6: Final answer
    x = 3,768.34

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Why These Related Problems?

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