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Finding the Fourth Proportional to 2,296.41, 3,441.89 and 1,256.22

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Solution

The fourth proportional to 2,296.41, 3,441.89 and 1,256.22 is: 1,882.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.41 : 3,441.89 = 1,256.22 : x
  2. Step 2: Convert to fraction form
    2,296.41/3,441.89 = 1,256.22/x
  3. Step 3: Cross multiply
    2,296.41x = 3,441.89 × 1,256.22
  4. Step 4: Simplify right side
    2,296.41x = 4,323,764.77
  5. Step 5: Solve for x
    x = 4,323,764.77/2,296.41
  6. Step 6: Final answer
    x = 1,882.84

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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.