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Finding the Fourth Proportional to 2,600, 3,898.72 and 1,138.24

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Solution

The fourth proportional to 2,600, 3,898.72 and 1,138.24 is: 1,706.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,600 : 3,898.72 = 1,138.24 : x
  2. Step 2: Convert to fraction form
    2,600/3,898.72 = 1,138.24/x
  3. Step 3: Cross multiply
    2,600x = 3,898.72 × 1,138.24
  4. Step 4: Simplify right side
    2,600x = 4,437,679.05
  5. Step 5: Solve for x
    x = 4,437,679.05/2,600
  6. Step 6: Final answer
    x = 1,706.80

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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.