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Finding the Fourth Proportional to 1,601.03, 2,209.50 and 937.94

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Solution

The fourth proportional to 1,601.03, 2,209.50 and 937.94 is: 1,294.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,601.03 : 2,209.50 = 937.94 : x
  2. Step 2: Convert to fraction form
    1,601.03/2,209.50 = 937.94/x
  3. Step 3: Cross multiply
    1,601.03x = 2,209.50 × 937.94
  4. Step 4: Simplify right side
    1,601.03x = 2,072,367.38
  5. Step 5: Solve for x
    x = 2,072,367.38/1,601.03
  6. Step 6: Final answer
    x = 1,294.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.