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Finding the Fourth Proportional to 2,008.01, 3,012.47 and 1,083.54

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Solution

The fourth proportional to 2,008.01, 3,012.47 and 1,083.54 is: 1,625.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008.01 : 3,012.47 = 1,083.54 : x
  2. Step 2: Convert to fraction form
    2,008.01/3,012.47 = 1,083.54/x
  3. Step 3: Cross multiply
    2,008.01x = 3,012.47 × 1,083.54
  4. Step 4: Simplify right side
    2,008.01x = 3,264,131.74
  5. Step 5: Solve for x
    x = 3,264,131.74/2,008.01
  6. Step 6: Final answer
    x = 1,625.56

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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.