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Finding the Fourth Proportional to 3,219.64, 4,443.54 and 1,822.36

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Solution

The fourth proportional to 3,219.64, 4,443.54 and 1,822.36 is: 2,515.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,219.64 : 4,443.54 = 1,822.36 : x
  2. Step 2: Convert to fraction form
    3,219.64/4,443.54 = 1,822.36/x
  3. Step 3: Cross multiply
    3,219.64x = 4,443.54 × 1,822.36
  4. Step 4: Simplify right side
    3,219.64x = 8,097,729.55
  5. Step 5: Solve for x
    x = 8,097,729.55/3,219.64
  6. Step 6: Final answer
    x = 2,515.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.