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Finding the Fourth Proportional to 2,371.68, 3,559.34 and 1,074.06

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Solution

The fourth proportional to 2,371.68, 3,559.34 and 1,074.06 is: 1,611.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,371.68 : 3,559.34 = 1,074.06 : x
  2. Step 2: Convert to fraction form
    2,371.68/3,559.34 = 1,074.06/x
  3. Step 3: Cross multiply
    2,371.68x = 3,559.34 × 1,074.06
  4. Step 4: Simplify right side
    2,371.68x = 3,822,944.72
  5. Step 5: Solve for x
    x = 3,822,944.72/2,371.68
  6. Step 6: Final answer
    x = 1,611.91

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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.