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Finding the Fourth Proportional to 2,008.88, 3,012.03 and 967.52

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Solution

The fourth proportional to 2,008.88, 3,012.03 and 967.52 is: 1,450.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008.88 : 3,012.03 = 967.52 : x
  2. Step 2: Convert to fraction form
    2,008.88/3,012.03 = 967.52/x
  3. Step 3: Cross multiply
    2,008.88x = 3,012.03 × 967.52
  4. Step 4: Simplify right side
    2,008.88x = 2,914,199.27
  5. Step 5: Solve for x
    x = 2,914,199.27/2,008.88
  6. Step 6: Final answer
    x = 1,450.66

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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.