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Finding the Fourth Proportional to 2,117, 3,174.34 and 729.56

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Solution

The fourth proportional to 2,117, 3,174.34 and 729.56 is: 1,093.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,117 : 3,174.34 = 729.56 : x
  2. Step 2: Convert to fraction form
    2,117/3,174.34 = 729.56/x
  3. Step 3: Cross multiply
    2,117x = 3,174.34 × 729.56
  4. Step 4: Simplify right side
    2,117x = 2,315,871.49
  5. Step 5: Solve for x
    x = 2,315,871.49/2,117
  6. Step 6: Final answer
    x = 1,093.94

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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.