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Finding the Fourth Proportional to 2,153.18, 3,229.08 and 692

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Solution

The fourth proportional to 2,153.18, 3,229.08 and 692 is: 1,037.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153.18 : 3,229.08 = 692 : x
  2. Step 2: Convert to fraction form
    2,153.18/3,229.08 = 692/x
  3. Step 3: Cross multiply
    2,153.18x = 3,229.08 × 692
  4. Step 4: Simplify right side
    2,153.18x = 2,234,523.36
  5. Step 5: Solve for x
    x = 2,234,523.36/2,153.18
  6. Step 6: Final answer
    x = 1,037.78

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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.