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Finding the Fourth Proportional to 2,775.78, 4,163.76 and 1,214.98

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Solution

The fourth proportional to 2,775.78, 4,163.76 and 1,214.98 is: 1,822.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,775.78 : 4,163.76 = 1,214.98 : x
  2. Step 2: Convert to fraction form
    2,775.78/4,163.76 = 1,214.98/x
  3. Step 3: Cross multiply
    2,775.78x = 4,163.76 × 1,214.98
  4. Step 4: Simplify right side
    2,775.78x = 5,058,885.12
  5. Step 5: Solve for x
    x = 5,058,885.12/2,775.78
  6. Step 6: Final answer
    x = 1,822.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.