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Finding the Fourth Proportional to 2,770.95, 3,822.39 and 1,775.10

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Solution

The fourth proportional to 2,770.95, 3,822.39 and 1,775.10 is: 2,448.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,770.95 : 3,822.39 = 1,775.10 : x
  2. Step 2: Convert to fraction form
    2,770.95/3,822.39 = 1,775.10/x
  3. Step 3: Cross multiply
    2,770.95x = 3,822.39 × 1,775.10
  4. Step 4: Simplify right side
    2,770.95x = 6,785,124.49
  5. Step 5: Solve for x
    x = 6,785,124.49/2,770.95
  6. Step 6: Final answer
    x = 2,448.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.