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Finding the Fourth Proportional to 2,456.02, 3,681.96 and 994.17

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Solution

The fourth proportional to 2,456.02, 3,681.96 and 994.17 is: 1,490.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,456.02 : 3,681.96 = 994.17 : x
  2. Step 2: Convert to fraction form
    2,456.02/3,681.96 = 994.17/x
  3. Step 3: Cross multiply
    2,456.02x = 3,681.96 × 994.17
  4. Step 4: Simplify right side
    2,456.02x = 3,660,504.25
  5. Step 5: Solve for x
    x = 3,660,504.25/2,456.02
  6. Step 6: Final answer
    x = 1,490.42

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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.