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Finding the Fourth Proportional to 2,684.18, 4,027 and 2,427.14

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Solution

The fourth proportional to 2,684.18, 4,027 and 2,427.14 is: 3,641.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684.18 : 4,027 = 2,427.14 : x
  2. Step 2: Convert to fraction form
    2,684.18/4,027 = 2,427.14/x
  3. Step 3: Cross multiply
    2,684.18x = 4,027 × 2,427.14
  4. Step 4: Simplify right side
    2,684.18x = 9,774,092.78
  5. Step 5: Solve for x
    x = 9,774,092.78/2,684.18
  6. Step 6: Final answer
    x = 3,641.37

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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.