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Finding the Fourth Proportional to 4,106.77, 6,160.19 and 1,766.61

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Solution

The fourth proportional to 4,106.77, 6,160.19 and 1,766.61 is: 2,649.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,106.77 : 6,160.19 = 1,766.61 : x
  2. Step 2: Convert to fraction form
    4,106.77/6,160.19 = 1,766.61/x
  3. Step 3: Cross multiply
    4,106.77x = 6,160.19 × 1,766.61
  4. Step 4: Simplify right side
    4,106.77x = 10,882,644.42
  5. Step 5: Solve for x
    x = 10,882,644.42/4,106.77
  6. Step 6: Final answer
    x = 2,649.93

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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.