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Finding the Fourth Proportional to 2,420.88, 3,635.40 and 1,327.32

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Solution

The fourth proportional to 2,420.88, 3,635.40 and 1,327.32 is: 1,993.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,420.88 : 3,635.40 = 1,327.32 : x
  2. Step 2: Convert to fraction form
    2,420.88/3,635.40 = 1,327.32/x
  3. Step 3: Cross multiply
    2,420.88x = 3,635.40 × 1,327.32
  4. Step 4: Simplify right side
    2,420.88x = 4,825,339.13
  5. Step 5: Solve for x
    x = 4,825,339.13/2,420.88
  6. Step 6: Final answer
    x = 1,993.22

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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.