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Finding the Fourth Proportional to 2,032.17, 3,048.24 and 493.17

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Solution

The fourth proportional to 2,032.17, 3,048.24 and 493.17 is: 739.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.17 : 3,048.24 = 493.17 : x
  2. Step 2: Convert to fraction form
    2,032.17/3,048.24 = 493.17/x
  3. Step 3: Cross multiply
    2,032.17x = 3,048.24 × 493.17
  4. Step 4: Simplify right side
    2,032.17x = 1,503,300.52
  5. Step 5: Solve for x
    x = 1,503,300.52/2,032.17
  6. Step 6: Final answer
    x = 739.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.