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Finding the Fourth Proportional to 3,269.78, 4,906.19 and 1,513.80

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Solution

The fourth proportional to 3,269.78, 4,906.19 and 1,513.80 is: 2,271.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,269.78 : 4,906.19 = 1,513.80 : x
  2. Step 2: Convert to fraction form
    3,269.78/4,906.19 = 1,513.80/x
  3. Step 3: Cross multiply
    3,269.78x = 4,906.19 × 1,513.80
  4. Step 4: Simplify right side
    3,269.78x = 7,426,994.21
  5. Step 5: Solve for x
    x = 7,426,994.21/3,269.78
  6. Step 6: Final answer
    x = 2,271.41

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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.