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Finding the Fourth Proportional to 2,352.49, 3,530.09 and 872.75

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Solution

The fourth proportional to 2,352.49, 3,530.09 and 872.75 is: 1,309.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,352.49 : 3,530.09 = 872.75 : x
  2. Step 2: Convert to fraction form
    2,352.49/3,530.09 = 872.75/x
  3. Step 3: Cross multiply
    2,352.49x = 3,530.09 × 872.75
  4. Step 4: Simplify right side
    2,352.49x = 3,080,886.05
  5. Step 5: Solve for x
    x = 3,080,886.05/2,352.49
  6. Step 6: Final answer
    x = 1,309.63

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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.