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Finding the Fourth Proportional to 2,008.93, 3,012.93 and 968.26

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Solution

The fourth proportional to 2,008.93, 3,012.93 and 968.26 is: 1,452.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008.93 : 3,012.93 = 968.26 : x
  2. Step 2: Convert to fraction form
    2,008.93/3,012.93 = 968.26/x
  3. Step 3: Cross multiply
    2,008.93x = 3,012.93 × 968.26
  4. Step 4: Simplify right side
    2,008.93x = 2,917,299.60
  5. Step 5: Solve for x
    x = 2,917,299.60/2,008.93
  6. Step 6: Final answer
    x = 1,452.17

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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.