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Finding the Fourth Proportional to 1,493.52, 2,253.67 and 1,433.60

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Solution

The fourth proportional to 1,493.52, 2,253.67 and 1,433.60 is: 2,163.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,493.52 : 2,253.67 = 1,433.60 : x
  2. Step 2: Convert to fraction form
    1,493.52/2,253.67 = 1,433.60/x
  3. Step 3: Cross multiply
    1,493.52x = 2,253.67 × 1,433.60
  4. Step 4: Simplify right side
    1,493.52x = 3,230,861.31
  5. Step 5: Solve for x
    x = 3,230,861.31/1,493.52
  6. Step 6: Final answer
    x = 2,163.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.