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Finding the Fourth Proportional to 2,003.97, 3,005.58 and 617.13

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Solution

The fourth proportional to 2,003.97, 3,005.58 and 617.13 is: 925.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.97 : 3,005.58 = 617.13 : x
  2. Step 2: Convert to fraction form
    2,003.97/3,005.58 = 617.13/x
  3. Step 3: Cross multiply
    2,003.97x = 3,005.58 × 617.13
  4. Step 4: Simplify right side
    2,003.97x = 1,854,833.59
  5. Step 5: Solve for x
    x = 1,854,833.59/2,003.97
  6. Step 6: Final answer
    x = 925.58

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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.