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Finding the Fourth Proportional to 1,603.41, 2,211.90 and 939.83

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Solution

The fourth proportional to 1,603.41, 2,211.90 and 939.83 is: 1,296.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,603.41 : 2,211.90 = 939.83 : x
  2. Step 2: Convert to fraction form
    1,603.41/2,211.90 = 939.83/x
  3. Step 3: Cross multiply
    1,603.41x = 2,211.90 × 939.83
  4. Step 4: Simplify right side
    1,603.41x = 2,078,809.98
  5. Step 5: Solve for x
    x = 2,078,809.98/1,603.41
  6. Step 6: Final answer
    x = 1,296.49

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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.