Home / 2,153.14-3,229.72-692.38

Finding the Fourth Proportional to 2,153.14, 3,229.72 and 692.38

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Solution

The fourth proportional to 2,153.14, 3,229.72 and 692.38 is: 1,038.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153.14 : 3,229.72 = 692.38 : x
  2. Step 2: Convert to fraction form
    2,153.14/3,229.72 = 692.38/x
  3. Step 3: Cross multiply
    2,153.14x = 3,229.72 × 692.38
  4. Step 4: Simplify right side
    2,153.14x = 2,236,193.53
  5. Step 5: Solve for x
    x = 2,236,193.53/2,153.14
  6. Step 6: Final answer
    x = 1,038.57

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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.