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Finding the Fourth Proportional to 2,600.78, 3,898.96 and 1,138.84

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Solution

The fourth proportional to 2,600.78, 3,898.96 and 1,138.84 is: 1,707.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,600.78 : 3,898.96 = 1,138.84 : x
  2. Step 2: Convert to fraction form
    2,600.78/3,898.96 = 1,138.84/x
  3. Step 3: Cross multiply
    2,600.78x = 3,898.96 × 1,138.84
  4. Step 4: Simplify right side
    2,600.78x = 4,440,291.61
  5. Step 5: Solve for x
    x = 4,440,291.61/2,600.78
  6. Step 6: Final answer
    x = 1,707.29

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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.