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Finding the Fourth Proportional to 2,603.03, 3,902.23 and 959.20

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Solution

The fourth proportional to 2,603.03, 3,902.23 and 959.20 is: 1,437.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,603.03 : 3,902.23 = 959.20 : x
  2. Step 2: Convert to fraction form
    2,603.03/3,902.23 = 959.20/x
  3. Step 3: Cross multiply
    2,603.03x = 3,902.23 × 959.20
  4. Step 4: Simplify right side
    2,603.03x = 3,743,019.02
  5. Step 5: Solve for x
    x = 3,743,019.02/2,603.03
  6. Step 6: Final answer
    x = 1,437.95

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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.