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Finding the Fourth Proportional to 1,228.95, 1,833.09 and 1,118.22

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Solution

The fourth proportional to 1,228.95, 1,833.09 and 1,118.22 is: 1,667.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.95 : 1,833.09 = 1,118.22 : x
  2. Step 2: Convert to fraction form
    1,228.95/1,833.09 = 1,118.22/x
  3. Step 3: Cross multiply
    1,228.95x = 1,833.09 × 1,118.22
  4. Step 4: Simplify right side
    1,228.95x = 2,049,797.90
  5. Step 5: Solve for x
    x = 2,049,797.90/1,228.95
  6. Step 6: Final answer
    x = 1,667.93

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.