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Finding the Fourth Proportional to 2,603.82, 3,905.77 and 872.45

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Solution

The fourth proportional to 2,603.82, 3,905.77 and 872.45 is: 1,308.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,603.82 : 3,905.77 = 872.45 : x
  2. Step 2: Convert to fraction form
    2,603.82/3,905.77 = 872.45/x
  3. Step 3: Cross multiply
    2,603.82x = 3,905.77 × 872.45
  4. Step 4: Simplify right side
    2,603.82x = 3,407,589.04
  5. Step 5: Solve for x
    x = 3,407,589.04/2,603.82
  6. Step 6: Final answer
    x = 1,308.69

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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.