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Finding the Fourth Proportional to 2,393.06, 3,591.21 and 1,297.78

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Solution

The fourth proportional to 2,393.06, 3,591.21 and 1,297.78 is: 1,947.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,393.06 : 3,591.21 = 1,297.78 : x
  2. Step 2: Convert to fraction form
    2,393.06/3,591.21 = 1,297.78/x
  3. Step 3: Cross multiply
    2,393.06x = 3,591.21 × 1,297.78
  4. Step 4: Simplify right side
    2,393.06x = 4,660,600.51
  5. Step 5: Solve for x
    x = 4,660,600.51/2,393.06
  6. Step 6: Final answer
    x = 1,947.55

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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.