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Finding the Fourth Proportional to 2,158.67, 3,238.73 and 1,335.80

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Solution

The fourth proportional to 2,158.67, 3,238.73 and 1,335.80 is: 2,004.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,158.67 : 3,238.73 = 1,335.80 : x
  2. Step 2: Convert to fraction form
    2,158.67/3,238.73 = 1,335.80/x
  3. Step 3: Cross multiply
    2,158.67x = 3,238.73 × 1,335.80
  4. Step 4: Simplify right side
    2,158.67x = 4,326,295.53
  5. Step 5: Solve for x
    x = 4,326,295.53/2,158.67
  6. Step 6: Final answer
    x = 2,004.15

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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.