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Finding the Fourth Proportional to 2,336.31, 3,504.47 and 692.87

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Solution

The fourth proportional to 2,336.31, 3,504.47 and 692.87 is: 1,039.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,336.31 : 3,504.47 = 692.87 : x
  2. Step 2: Convert to fraction form
    2,336.31/3,504.47 = 692.87/x
  3. Step 3: Cross multiply
    2,336.31x = 3,504.47 × 692.87
  4. Step 4: Simplify right side
    2,336.31x = 2,428,121.14
  5. Step 5: Solve for x
    x = 2,428,121.14/2,336.31
  6. Step 6: Final answer
    x = 1,039.30

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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.