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Finding the Fourth Proportional to 2,603.33, 3,902.26 and 958.83

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Solution

The fourth proportional to 2,603.33, 3,902.26 and 958.83 is: 1,437.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,603.33 : 3,902.26 = 958.83 : x
  2. Step 2: Convert to fraction form
    2,603.33/3,902.26 = 958.83/x
  3. Step 3: Cross multiply
    2,603.33x = 3,902.26 × 958.83
  4. Step 4: Simplify right side
    2,603.33x = 3,741,603.96
  5. Step 5: Solve for x
    x = 3,741,603.96/2,603.33
  6. Step 6: Final answer
    x = 1,437.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.