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Finding the Fourth Proportional to 2,227.86, 3,074.13 and 1,529.46

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Solution

The fourth proportional to 2,227.86, 3,074.13 and 1,529.46 is: 2,110.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,227.86 : 3,074.13 = 1,529.46 : x
  2. Step 2: Convert to fraction form
    2,227.86/3,074.13 = 1,529.46/x
  3. Step 3: Cross multiply
    2,227.86x = 3,074.13 × 1,529.46
  4. Step 4: Simplify right side
    2,227.86x = 4,701,758.87
  5. Step 5: Solve for x
    x = 4,701,758.87/2,227.86
  6. Step 6: Final answer
    x = 2,110.44

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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.