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Finding the Fourth Proportional to 2,603.02, 3,904.35 and 959.26

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Solution

The fourth proportional to 2,603.02, 3,904.35 and 959.26 is: 1,438.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,603.02 : 3,904.35 = 959.26 : x
  2. Step 2: Convert to fraction form
    2,603.02/3,904.35 = 959.26/x
  3. Step 3: Cross multiply
    2,603.02x = 3,904.35 × 959.26
  4. Step 4: Simplify right side
    2,603.02x = 3,745,286.78
  5. Step 5: Solve for x
    x = 3,745,286.78/2,603.02
  6. Step 6: Final answer
    x = 1,438.82

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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.