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Finding the Fourth Proportional to 2,603.42, 3,905.73 and 872

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Solution

The fourth proportional to 2,603.42, 3,905.73 and 872 is: 1,308.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,603.42 : 3,905.73 = 872 : x
  2. Step 2: Convert to fraction form
    2,603.42/3,905.73 = 872/x
  3. Step 3: Cross multiply
    2,603.42x = 3,905.73 × 872
  4. Step 4: Simplify right side
    2,603.42x = 3,405,796.56
  5. Step 5: Solve for x
    x = 3,405,796.56/2,603.42
  6. Step 6: Final answer
    x = 1,308.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.