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Finding the Fourth Proportional to 2,032.25, 3,048.39 and 493.25

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Solution

The fourth proportional to 2,032.25, 3,048.39 and 493.25 is: 739.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.25 : 3,048.39 = 493.25 : x
  2. Step 2: Convert to fraction form
    2,032.25/3,048.39 = 493.25/x
  3. Step 3: Cross multiply
    2,032.25x = 3,048.39 × 493.25
  4. Step 4: Simplify right side
    2,032.25x = 1,503,618.37
  5. Step 5: Solve for x
    x = 1,503,618.37/2,032.25
  6. Step 6: Final answer
    x = 739.88

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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.