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Finding the Fourth Proportional to 1,744, 2,407.26 and 1,123

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Solution

The fourth proportional to 1,744, 2,407.26 and 1,123 is: 1,550.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,744 : 2,407.26 = 1,123 : x
  2. Step 2: Convert to fraction form
    1,744/2,407.26 = 1,123/x
  3. Step 3: Cross multiply
    1,744x = 2,407.26 × 1,123
  4. Step 4: Simplify right side
    1,744x = 2,703,352.98
  5. Step 5: Solve for x
    x = 2,703,352.98/1,744
  6. Step 6: Final answer
    x = 1,550.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.