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Finding the Fourth Proportional to 2,353.56, 3,530.40 and 814.56

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Solution

The fourth proportional to 2,353.56, 3,530.40 and 814.56 is: 1,221.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,353.56 : 3,530.40 = 814.56 : x
  2. Step 2: Convert to fraction form
    2,353.56/3,530.40 = 814.56/x
  3. Step 3: Cross multiply
    2,353.56x = 3,530.40 × 814.56
  4. Step 4: Simplify right side
    2,353.56x = 2,875,722.62
  5. Step 5: Solve for x
    x = 2,875,722.62/2,353.56
  6. Step 6: Final answer
    x = 1,221.86

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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.