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Finding the Fourth Proportional to 1,644.42, 2,270.78 and 1,529.61

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Solution

The fourth proportional to 1,644.42, 2,270.78 and 1,529.61 is: 2,112.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,644.42 : 2,270.78 = 1,529.61 : x
  2. Step 2: Convert to fraction form
    1,644.42/2,270.78 = 1,529.61/x
  3. Step 3: Cross multiply
    1,644.42x = 2,270.78 × 1,529.61
  4. Step 4: Simplify right side
    1,644.42x = 3,473,407.80
  5. Step 5: Solve for x
    x = 3,473,407.80/1,644.42
  6. Step 6: Final answer
    x = 2,112.24

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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.