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Finding the Fourth Proportional to 2,530.73, 3,797.18 and 1,433.45

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Solution

The fourth proportional to 2,530.73, 3,797.18 and 1,433.45 is: 2,150.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,530.73 : 3,797.18 = 1,433.45 : x
  2. Step 2: Convert to fraction form
    2,530.73/3,797.18 = 1,433.45/x
  3. Step 3: Cross multiply
    2,530.73x = 3,797.18 × 1,433.45
  4. Step 4: Simplify right side
    2,530.73x = 5,443,060.50
  5. Step 5: Solve for x
    x = 5,443,060.50/2,530.73
  6. Step 6: Final answer
    x = 2,150.79

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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.