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Finding the Fourth Proportional to 2,425.41, 3,638.62 and 844.17

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Solution

The fourth proportional to 2,425.41, 3,638.62 and 844.17 is: 1,266.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,425.41 : 3,638.62 = 844.17 : x
  2. Step 2: Convert to fraction form
    2,425.41/3,638.62 = 844.17/x
  3. Step 3: Cross multiply
    2,425.41x = 3,638.62 × 844.17
  4. Step 4: Simplify right side
    2,425.41x = 3,071,621.72
  5. Step 5: Solve for x
    x = 3,071,621.72/2,425.41
  6. Step 6: Final answer
    x = 1,266.43

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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.