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Finding the Fourth Proportional to 2,600.63, 3,902.25 and 1,139.79

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Solution

The fourth proportional to 2,600.63, 3,902.25 and 1,139.79 is: 1,710.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,600.63 : 3,902.25 = 1,139.79 : x
  2. Step 2: Convert to fraction form
    2,600.63/3,902.25 = 1,139.79/x
  3. Step 3: Cross multiply
    2,600.63x = 3,902.25 × 1,139.79
  4. Step 4: Simplify right side
    2,600.63x = 4,447,745.53
  5. Step 5: Solve for x
    x = 4,447,745.53/2,600.63
  6. Step 6: Final answer
    x = 1,710.26

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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.