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Finding the Fourth Proportional to 2,412.30, 3,618.56 and 681.06

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Solution

The fourth proportional to 2,412.30, 3,618.56 and 681.06 is: 1,021.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,412.30 : 3,618.56 = 681.06 : x
  2. Step 2: Convert to fraction form
    2,412.30/3,618.56 = 681.06/x
  3. Step 3: Cross multiply
    2,412.30x = 3,618.56 × 681.06
  4. Step 4: Simplify right side
    2,412.30x = 2,464,456.47
  5. Step 5: Solve for x
    x = 2,464,456.47/2,412.30
  6. Step 6: Final answer
    x = 1,021.62

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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.