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Finding the Fourth Proportional to 2,032.69, 3,049.03 and 493.69

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Solution

The fourth proportional to 2,032.69, 3,049.03 and 493.69 is: 740.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.69 : 3,049.03 = 493.69 : x
  2. Step 2: Convert to fraction form
    2,032.69/3,049.03 = 493.69/x
  3. Step 3: Cross multiply
    2,032.69x = 3,049.03 × 493.69
  4. Step 4: Simplify right side
    2,032.69x = 1,505,275.62
  5. Step 5: Solve for x
    x = 1,505,275.62/2,032.69
  6. Step 6: Final answer
    x = 740.53

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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.