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Finding the Fourth Proportional to 2,371.56, 3,557.34 and 1,276.44

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Solution

The fourth proportional to 2,371.56, 3,557.34 and 1,276.44 is: 1,914.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,371.56 : 3,557.34 = 1,276.44 : x
  2. Step 2: Convert to fraction form
    2,371.56/3,557.34 = 1,276.44/x
  3. Step 3: Cross multiply
    2,371.56x = 3,557.34 × 1,276.44
  4. Step 4: Simplify right side
    2,371.56x = 4,540,731.07
  5. Step 5: Solve for x
    x = 4,540,731.07/2,371.56
  6. Step 6: Final answer
    x = 1,914.66

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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.