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Finding the Fourth Proportional to 2,353.73, 3,530.08 and 965.73

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Solution

The fourth proportional to 2,353.73, 3,530.08 and 965.73 is: 1,448.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,353.73 : 3,530.08 = 965.73 : x
  2. Step 2: Convert to fraction form
    2,353.73/3,530.08 = 965.73/x
  3. Step 3: Cross multiply
    2,353.73x = 3,530.08 × 965.73
  4. Step 4: Simplify right side
    2,353.73x = 3,409,104.16
  5. Step 5: Solve for x
    x = 3,409,104.16/2,353.73
  6. Step 6: Final answer
    x = 1,448.38

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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.