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Finding the Fourth Proportional to 2,420.56, 3,648.49 and 2,201.86

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Solution

The fourth proportional to 2,420.56, 3,648.49 and 2,201.86 is: 3,318.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,420.56 : 3,648.49 = 2,201.86 : x
  2. Step 2: Convert to fraction form
    2,420.56/3,648.49 = 2,201.86/x
  3. Step 3: Cross multiply
    2,420.56x = 3,648.49 × 2,201.86
  4. Step 4: Simplify right side
    2,420.56x = 8,033,464.19
  5. Step 5: Solve for x
    x = 8,033,464.19/2,420.56
  6. Step 6: Final answer
    x = 3,318.85

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.