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Finding the Fourth Proportional to 1,218.95, 1,830.62 and 1,121.27

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Solution

The fourth proportional to 1,218.95, 1,830.62 and 1,121.27 is: 1,683.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.95 : 1,830.62 = 1,121.27 : x
  2. Step 2: Convert to fraction form
    1,218.95/1,830.62 = 1,121.27/x
  3. Step 3: Cross multiply
    1,218.95x = 1,830.62 × 1,121.27
  4. Step 4: Simplify right side
    1,218.95x = 2,052,604.53
  5. Step 5: Solve for x
    x = 2,052,604.53/1,218.95
  6. Step 6: Final answer
    x = 1,683.92

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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.