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Finding the Fourth Proportional to 2,428.64, 3,348.75 and 1,996.22

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Solution

The fourth proportional to 2,428.64, 3,348.75 and 1,996.22 is: 2,752.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,428.64 : 3,348.75 = 1,996.22 : x
  2. Step 2: Convert to fraction form
    2,428.64/3,348.75 = 1,996.22/x
  3. Step 3: Cross multiply
    2,428.64x = 3,348.75 × 1,996.22
  4. Step 4: Simplify right side
    2,428.64x = 6,684,841.73
  5. Step 5: Solve for x
    x = 6,684,841.73/2,428.64
  6. Step 6: Final answer
    x = 2,752.50

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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.