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Finding the Fourth Proportional to 2,456.06, 3,683.95 and 994.82

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Solution

The fourth proportional to 2,456.06, 3,683.95 and 994.82 is: 1,492.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,456.06 : 3,683.95 = 994.82 : x
  2. Step 2: Convert to fraction form
    2,456.06/3,683.95 = 994.82/x
  3. Step 3: Cross multiply
    2,456.06x = 3,683.95 × 994.82
  4. Step 4: Simplify right side
    2,456.06x = 3,664,846.23
  5. Step 5: Solve for x
    x = 3,664,846.23/2,456.06
  6. Step 6: Final answer
    x = 1,492.17

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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.