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Finding the Fourth Proportional to 2,436.41, 3,653.96 and 681.30

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Solution

The fourth proportional to 2,436.41, 3,653.96 and 681.30 is: 1,021.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,436.41 : 3,653.96 = 681.30 : x
  2. Step 2: Convert to fraction form
    2,436.41/3,653.96 = 681.30/x
  3. Step 3: Cross multiply
    2,436.41x = 3,653.96 × 681.30
  4. Step 4: Simplify right side
    2,436.41x = 2,489,442.10
  5. Step 5: Solve for x
    x = 2,489,442.10/2,436.41
  6. Step 6: Final answer
    x = 1,021.77

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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.