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Finding the Fourth Proportional to 2,032.26, 3,048.40 and 493.26

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Solution

The fourth proportional to 2,032.26, 3,048.40 and 493.26 is: 739.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.26 : 3,048.40 = 493.26 : x
  2. Step 2: Convert to fraction form
    2,032.26/3,048.40 = 493.26/x
  3. Step 3: Cross multiply
    2,032.26x = 3,048.40 × 493.26
  4. Step 4: Simplify right side
    2,032.26x = 1,503,653.78
  5. Step 5: Solve for x
    x = 1,503,653.78/2,032.26
  6. Step 6: Final answer
    x = 739.89

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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.