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Finding the Fourth Proportional to 2,008.69, 3,012.28 and 692.07

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Solution

The fourth proportional to 2,008.69, 3,012.28 and 692.07 is: 1,037.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008.69 : 3,012.28 = 692.07 : x
  2. Step 2: Convert to fraction form
    2,008.69/3,012.28 = 692.07/x
  3. Step 3: Cross multiply
    2,008.69x = 3,012.28 × 692.07
  4. Step 4: Simplify right side
    2,008.69x = 2,084,705.16
  5. Step 5: Solve for x
    x = 2,084,705.16/2,008.69
  6. Step 6: Final answer
    x = 1,037.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.