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Finding the Fourth Proportional to 2,603.16, 3,902.58 and 959.40

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Solution

The fourth proportional to 2,603.16, 3,902.58 and 959.40 is: 1,438.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,603.16 : 3,902.58 = 959.40 : x
  2. Step 2: Convert to fraction form
    2,603.16/3,902.58 = 959.40/x
  3. Step 3: Cross multiply
    2,603.16x = 3,902.58 × 959.40
  4. Step 4: Simplify right side
    2,603.16x = 3,744,135.25
  5. Step 5: Solve for x
    x = 3,744,135.25/2,603.16
  6. Step 6: Final answer
    x = 1,438.30

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Why These Related Problems?

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