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Finding the Fourth Proportional to 1,611.50, 2,224.14 and 912.74

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Solution

The fourth proportional to 1,611.50, 2,224.14 and 912.74 is: 1,259.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,611.50 : 2,224.14 = 912.74 : x
  2. Step 2: Convert to fraction form
    1,611.50/2,224.14 = 912.74/x
  3. Step 3: Cross multiply
    1,611.50x = 2,224.14 × 912.74
  4. Step 4: Simplify right side
    1,611.50x = 2,030,061.54
  5. Step 5: Solve for x
    x = 2,030,061.54/1,611.50
  6. Step 6: Final answer
    x = 1,259.73

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Why These Related Problems?

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