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Finding the Fourth Proportional to 2,414.61, 3,626.37 and 1,492.43

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Solution

The fourth proportional to 2,414.61, 3,626.37 and 1,492.43 is: 2,241.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,414.61 : 3,626.37 = 1,492.43 : x
  2. Step 2: Convert to fraction form
    2,414.61/3,626.37 = 1,492.43/x
  3. Step 3: Cross multiply
    2,414.61x = 3,626.37 × 1,492.43
  4. Step 4: Simplify right side
    2,414.61x = 5,412,085.25
  5. Step 5: Solve for x
    x = 5,412,085.25/2,414.61
  6. Step 6: Final answer
    x = 2,241.39

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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.