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Finding the Fourth Proportional to 1,603.58, 2,212.97 and 1,209.92

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Solution

The fourth proportional to 1,603.58, 2,212.97 and 1,209.92 is: 1,669.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,603.58 : 2,212.97 = 1,209.92 : x
  2. Step 2: Convert to fraction form
    1,603.58/2,212.97 = 1,209.92/x
  3. Step 3: Cross multiply
    1,603.58x = 2,212.97 × 1,209.92
  4. Step 4: Simplify right side
    1,603.58x = 2,677,499.55
  5. Step 5: Solve for x
    x = 2,677,499.55/1,603.58
  6. Step 6: Final answer
    x = 1,669.71

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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.