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Finding the Fourth Proportional to 1,850.76, 2,772.50 and 1,224.14

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Solution

The fourth proportional to 1,850.76, 2,772.50 and 1,224.14 is: 1,833.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,850.76 : 2,772.50 = 1,224.14 : x
  2. Step 2: Convert to fraction form
    1,850.76/2,772.50 = 1,224.14/x
  3. Step 3: Cross multiply
    1,850.76x = 2,772.50 × 1,224.14
  4. Step 4: Simplify right side
    1,850.76x = 3,393,928.15
  5. Step 5: Solve for x
    x = 3,393,928.15/1,850.76
  6. Step 6: Final answer
    x = 1,833.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.