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Finding the Fourth Proportional to 2,414.41, 3,613.74 and 1,302.25

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Solution

The fourth proportional to 2,414.41, 3,613.74 and 1,302.25 is: 1,949.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,414.41 : 3,613.74 = 1,302.25 : x
  2. Step 2: Convert to fraction form
    2,414.41/3,613.74 = 1,302.25/x
  3. Step 3: Cross multiply
    2,414.41x = 3,613.74 × 1,302.25
  4. Step 4: Simplify right side
    2,414.41x = 4,705,992.92
  5. Step 5: Solve for x
    x = 4,705,992.92/2,414.41
  6. Step 6: Final answer
    x = 1,949.13

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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.