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Finding the Fourth Proportional to 3,063.59, 4,227.78 and 1,666.34

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Solution

The fourth proportional to 3,063.59, 4,227.78 and 1,666.34 is: 2,299.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,063.59 : 4,227.78 = 1,666.34 : x
  2. Step 2: Convert to fraction form
    3,063.59/4,227.78 = 1,666.34/x
  3. Step 3: Cross multiply
    3,063.59x = 4,227.78 × 1,666.34
  4. Step 4: Simplify right side
    3,063.59x = 7,044,918.93
  5. Step 5: Solve for x
    x = 7,044,918.93/3,063.59
  6. Step 6: Final answer
    x = 2,299.56

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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.