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Finding the Fourth Proportional to 2,008.98, 3,012.66 and 1,465.20

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Solution

The fourth proportional to 2,008.98, 3,012.66 and 1,465.20 is: 2,197.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008.98 : 3,012.66 = 1,465.20 : x
  2. Step 2: Convert to fraction form
    2,008.98/3,012.66 = 1,465.20/x
  3. Step 3: Cross multiply
    2,008.98x = 3,012.66 × 1,465.20
  4. Step 4: Simplify right side
    2,008.98x = 4,414,149.43
  5. Step 5: Solve for x
    x = 4,414,149.43/2,008.98
  6. Step 6: Final answer
    x = 2,197.21

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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.