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Finding the Fourth Proportional to 2,407.94, 3,611.18 and 1,021.25

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Solution

The fourth proportional to 2,407.94, 3,611.18 and 1,021.25 is: 1,531.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407.94 : 3,611.18 = 1,021.25 : x
  2. Step 2: Convert to fraction form
    2,407.94/3,611.18 = 1,021.25/x
  3. Step 3: Cross multiply
    2,407.94x = 3,611.18 × 1,021.25
  4. Step 4: Simplify right side
    2,407.94x = 3,687,912.47
  5. Step 5: Solve for x
    x = 3,687,912.47/2,407.94
  6. Step 6: Final answer
    x = 1,531.56

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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.