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Finding the Fourth Proportional to 2,454.98, 3,683.38 and 994.56

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Solution

The fourth proportional to 2,454.98, 3,683.38 and 994.56 is: 1,492.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,454.98 : 3,683.38 = 994.56 : x
  2. Step 2: Convert to fraction form
    2,454.98/3,683.38 = 994.56/x
  3. Step 3: Cross multiply
    2,454.98x = 3,683.38 × 994.56
  4. Step 4: Simplify right side
    2,454.98x = 3,663,342.41
  5. Step 5: Solve for x
    x = 3,663,342.41/2,454.98
  6. Step 6: Final answer
    x = 1,492.21

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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.