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Finding the Fourth Proportional to 3,176.94, 4,760.22 and 1,095.81

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Solution

The fourth proportional to 3,176.94, 4,760.22 and 1,095.81 is: 1,641.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,176.94 : 4,760.22 = 1,095.81 : x
  2. Step 2: Convert to fraction form
    3,176.94/4,760.22 = 1,095.81/x
  3. Step 3: Cross multiply
    3,176.94x = 4,760.22 × 1,095.81
  4. Step 4: Simplify right side
    3,176.94x = 5,216,296.68
  5. Step 5: Solve for x
    x = 5,216,296.68/3,176.94
  6. Step 6: Final answer
    x = 1,641.92

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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.