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Finding the Fourth Proportional to 3,032.01, 4,183.54 and 1,772.82

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Solution

The fourth proportional to 3,032.01, 4,183.54 and 1,772.82 is: 2,446.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,032.01 : 4,183.54 = 1,772.82 : x
  2. Step 2: Convert to fraction form
    3,032.01/4,183.54 = 1,772.82/x
  3. Step 3: Cross multiply
    3,032.01x = 4,183.54 × 1,772.82
  4. Step 4: Simplify right side
    3,032.01x = 7,416,663.38
  5. Step 5: Solve for x
    x = 7,416,663.38/3,032.01
  6. Step 6: Final answer
    x = 2,446.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.