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Finding the Fourth Proportional to 2,158.99, 3,238.38 and 1,118.61

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Solution

The fourth proportional to 2,158.99, 3,238.38 and 1,118.61 is: 1,677.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,158.99 : 3,238.38 = 1,118.61 : x
  2. Step 2: Convert to fraction form
    2,158.99/3,238.38 = 1,118.61/x
  3. Step 3: Cross multiply
    2,158.99x = 3,238.38 × 1,118.61
  4. Step 4: Simplify right side
    2,158.99x = 3,622,484.25
  5. Step 5: Solve for x
    x = 3,622,484.25/2,158.99
  6. Step 6: Final answer
    x = 1,677.86

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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.