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Finding the Fourth Proportional to 2,611.46, 3,910.14 and 1,566.56

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Solution

The fourth proportional to 2,611.46, 3,910.14 and 1,566.56 is: 2,345.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,611.46 : 3,910.14 = 1,566.56 : x
  2. Step 2: Convert to fraction form
    2,611.46/3,910.14 = 1,566.56/x
  3. Step 3: Cross multiply
    2,611.46x = 3,910.14 × 1,566.56
  4. Step 4: Simplify right side
    2,611.46x = 6,125,449.37
  5. Step 5: Solve for x
    x = 6,125,449.37/2,611.46
  6. Step 6: Final answer
    x = 2,345.61

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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.