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Finding the Fourth Proportional to 1,611.75, 2,224.20 and 913.13

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Solution

The fourth proportional to 1,611.75, 2,224.20 and 913.13 is: 1,260.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,611.75 : 2,224.20 = 913.13 : x
  2. Step 2: Convert to fraction form
    1,611.75/2,224.20 = 913.13/x
  3. Step 3: Cross multiply
    1,611.75x = 2,224.20 × 913.13
  4. Step 4: Simplify right side
    1,611.75x = 2,030,983.75
  5. Step 5: Solve for x
    x = 2,030,983.75/1,611.75
  6. Step 6: Final answer
    x = 1,260.11

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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.