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Finding the Fourth Proportional to 3,106.91, 4,660.74 and 1,463.81

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Solution

The fourth proportional to 3,106.91, 4,660.74 and 1,463.81 is: 2,195.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.91 : 4,660.74 = 1,463.81 : x
  2. Step 2: Convert to fraction form
    3,106.91/4,660.74 = 1,463.81/x
  3. Step 3: Cross multiply
    3,106.91x = 4,660.74 × 1,463.81
  4. Step 4: Simplify right side
    3,106.91x = 6,822,437.82
  5. Step 5: Solve for x
    x = 6,822,437.82/3,106.91
  6. Step 6: Final answer
    x = 2,195.89

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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.