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Finding the Fourth Proportional to 1,609.61, 2,221.07 and 901.49

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Solution

The fourth proportional to 1,609.61, 2,221.07 and 901.49 is: 1,243.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.61 : 2,221.07 = 901.49 : x
  2. Step 2: Convert to fraction form
    1,609.61/2,221.07 = 901.49/x
  3. Step 3: Cross multiply
    1,609.61x = 2,221.07 × 901.49
  4. Step 4: Simplify right side
    1,609.61x = 2,002,256.78
  5. Step 5: Solve for x
    x = 2,002,256.78/1,609.61
  6. Step 6: Final answer
    x = 1,243.94

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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.