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Finding the Fourth Proportional to 2,353.82, 3,530.31 and 872.87

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Solution

The fourth proportional to 2,353.82, 3,530.31 and 872.87 is: 1,309.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,353.82 : 3,530.31 = 872.87 : x
  2. Step 2: Convert to fraction form
    2,353.82/3,530.31 = 872.87/x
  3. Step 3: Cross multiply
    2,353.82x = 3,530.31 × 872.87
  4. Step 4: Simplify right side
    2,353.82x = 3,081,501.69
  5. Step 5: Solve for x
    x = 3,081,501.69/2,353.82
  6. Step 6: Final answer
    x = 1,309.15

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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.