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Finding the Fourth Proportional to 1,601.69, 2,209.48 and 1,103.47

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Solution

The fourth proportional to 1,601.69, 2,209.48 and 1,103.47 is: 1,522.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,601.69 : 2,209.48 = 1,103.47 : x
  2. Step 2: Convert to fraction form
    1,601.69/2,209.48 = 1,103.47/x
  3. Step 3: Cross multiply
    1,601.69x = 2,209.48 × 1,103.47
  4. Step 4: Simplify right side
    1,601.69x = 2,438,086.61
  5. Step 5: Solve for x
    x = 2,438,086.61/1,601.69
  6. Step 6: Final answer
    x = 1,522.20

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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.