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Finding the Fourth Proportional to 3,105.45, 4,661.19 and 1,463.13

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Solution

The fourth proportional to 3,105.45, 4,661.19 and 1,463.13 is: 2,196.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105.45 : 4,661.19 = 1,463.13 : x
  2. Step 2: Convert to fraction form
    3,105.45/4,661.19 = 1,463.13/x
  3. Step 3: Cross multiply
    3,105.45x = 4,661.19 × 1,463.13
  4. Step 4: Simplify right side
    3,105.45x = 6,819,926.92
  5. Step 5: Solve for x
    x = 6,819,926.92/3,105.45
  6. Step 6: Final answer
    x = 2,196.12

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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.