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Finding the Fourth Proportional to 2,774.58, 4,163.16 and 1,214.38

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Solution

The fourth proportional to 2,774.58, 4,163.16 and 1,214.38 is: 1,822.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.58 : 4,163.16 = 1,214.38 : x
  2. Step 2: Convert to fraction form
    2,774.58/4,163.16 = 1,214.38/x
  3. Step 3: Cross multiply
    2,774.58x = 4,163.16 × 1,214.38
  4. Step 4: Simplify right side
    2,774.58x = 5,055,647.83
  5. Step 5: Solve for x
    x = 5,055,647.83/2,774.58
  6. Step 6: Final answer
    x = 1,822.13

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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.