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Finding the Fourth Proportional to 1,611.73, 2,223.75 and 1,218.07

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Solution

The fourth proportional to 1,611.73, 2,223.75 and 1,218.07 is: 1,680.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,611.73 : 2,223.75 = 1,218.07 : x
  2. Step 2: Convert to fraction form
    1,611.73/2,223.75 = 1,218.07/x
  3. Step 3: Cross multiply
    1,611.73x = 2,223.75 × 1,218.07
  4. Step 4: Simplify right side
    1,611.73x = 2,708,683.16
  5. Step 5: Solve for x
    x = 2,708,683.16/1,611.73
  6. Step 6: Final answer
    x = 1,680.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.