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Finding the Fourth Proportional to 2,611.74, 3,918.33 and 880.38

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Solution

The fourth proportional to 2,611.74, 3,918.33 and 880.38 is: 1,320.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,611.74 : 3,918.33 = 880.38 : x
  2. Step 2: Convert to fraction form
    2,611.74/3,918.33 = 880.38/x
  3. Step 3: Cross multiply
    2,611.74x = 3,918.33 × 880.38
  4. Step 4: Simplify right side
    2,611.74x = 3,449,619.37
  5. Step 5: Solve for x
    x = 3,449,619.37/2,611.74
  6. Step 6: Final answer
    x = 1,320.81

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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.