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Finding the Fourth Proportional to 2,008.25, 3,012.81 and 602.61

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Solution

The fourth proportional to 2,008.25, 3,012.81 and 602.61 is: 904.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008.25 : 3,012.81 = 602.61 : x
  2. Step 2: Convert to fraction form
    2,008.25/3,012.81 = 602.61/x
  3. Step 3: Cross multiply
    2,008.25x = 3,012.81 × 602.61
  4. Step 4: Simplify right side
    2,008.25x = 1,815,539.27
  5. Step 5: Solve for x
    x = 1,815,539.27/2,008.25
  6. Step 6: Final answer
    x = 904.04

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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.