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Finding the Fourth Proportional to 2,008.69, 3,007.84 and 1,385.90

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Solution

The fourth proportional to 2,008.69, 3,007.84 and 1,385.90 is: 2,075.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008.69 : 3,007.84 = 1,385.90 : x
  2. Step 2: Convert to fraction form
    2,008.69/3,007.84 = 1,385.90/x
  3. Step 3: Cross multiply
    2,008.69x = 3,007.84 × 1,385.90
  4. Step 4: Simplify right side
    2,008.69x = 4,168,571.39
  5. Step 5: Solve for x
    x = 4,168,571.39/2,008.69
  6. Step 6: Final answer
    x = 2,075.27

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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.