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Finding the Fourth Proportional to 1,224.86, 1,832.27 and 1,019.70

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Solution

The fourth proportional to 1,224.86, 1,832.27 and 1,019.70 is: 1,525.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.86 : 1,832.27 = 1,019.70 : x
  2. Step 2: Convert to fraction form
    1,224.86/1,832.27 = 1,019.70/x
  3. Step 3: Cross multiply
    1,224.86x = 1,832.27 × 1,019.70
  4. Step 4: Simplify right side
    1,224.86x = 1,868,360.62
  5. Step 5: Solve for x
    x = 1,868,360.62/1,224.86
  6. Step 6: Final answer
    x = 1,525.37

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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.