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Finding the Fourth Proportional to 2,353.14, 3,530.07 and 967.14

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Solution

The fourth proportional to 2,353.14, 3,530.07 and 967.14 is: 1,450.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,353.14 : 3,530.07 = 967.14 : x
  2. Step 2: Convert to fraction form
    2,353.14/3,530.07 = 967.14/x
  3. Step 3: Cross multiply
    2,353.14x = 3,530.07 × 967.14
  4. Step 4: Simplify right side
    2,353.14x = 3,414,071.90
  5. Step 5: Solve for x
    x = 3,414,071.90/2,353.14
  6. Step 6: Final answer
    x = 1,450.86

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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.