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Finding the Fourth Proportional to 2,418.60, 3,619.80 and 2,224.20

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Solution

The fourth proportional to 2,418.60, 3,619.80 and 2,224.20 is: 3,328.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,418.60 : 3,619.80 = 2,224.20 : x
  2. Step 2: Convert to fraction form
    2,418.60/3,619.80 = 2,224.20/x
  3. Step 3: Cross multiply
    2,418.60x = 3,619.80 × 2,224.20
  4. Step 4: Simplify right side
    2,418.60x = 8,051,159.16
  5. Step 5: Solve for x
    x = 8,051,159.16/2,418.60
  6. Step 6: Final answer
    x = 3,328.85

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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.