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Finding the Fourth Proportional to 2,008.52, 3,013.14 and 692.46

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Solution

The fourth proportional to 2,008.52, 3,013.14 and 692.46 is: 1,038.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008.52 : 3,013.14 = 692.46 : x
  2. Step 2: Convert to fraction form
    2,008.52/3,013.14 = 692.46/x
  3. Step 3: Cross multiply
    2,008.52x = 3,013.14 × 692.46
  4. Step 4: Simplify right side
    2,008.52x = 2,086,481.52
  5. Step 5: Solve for x
    x = 2,086,481.52/2,008.52
  6. Step 6: Final answer
    x = 1,038.82

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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.