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Finding the Fourth Proportional to 2,352.77, 3,530.09 and 892.31

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Solution

The fourth proportional to 2,352.77, 3,530.09 and 892.31 is: 1,338.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,352.77 : 3,530.09 = 892.31 : x
  2. Step 2: Convert to fraction form
    2,352.77/3,530.09 = 892.31/x
  3. Step 3: Cross multiply
    2,352.77x = 3,530.09 × 892.31
  4. Step 4: Simplify right side
    2,352.77x = 3,149,930.15
  5. Step 5: Solve for x
    x = 3,149,930.15/2,352.77
  6. Step 6: Final answer
    x = 1,338.82

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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.