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Finding the Fourth Proportional to 2,032.20, 3,048.29 and 493.20

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Solution

The fourth proportional to 2,032.20, 3,048.29 and 493.20 is: 739.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.20 : 3,048.29 = 493.20 : x
  2. Step 2: Convert to fraction form
    2,032.20/3,048.29 = 493.20/x
  3. Step 3: Cross multiply
    2,032.20x = 3,048.29 × 493.20
  4. Step 4: Simplify right side
    2,032.20x = 1,503,417.86
  5. Step 5: Solve for x
    x = 1,503,417.86/2,032.20
  6. Step 6: Final answer
    x = 739.80

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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.