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Finding the Fourth Proportional to 3,463.01, 4,778.31 and 2,046.93

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Solution

The fourth proportional to 3,463.01, 4,778.31 and 2,046.93 is: 2,824.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,463.01 : 4,778.31 = 2,046.93 : x
  2. Step 2: Convert to fraction form
    3,463.01/4,778.31 = 2,046.93/x
  3. Step 3: Cross multiply
    3,463.01x = 4,778.31 × 2,046.93
  4. Step 4: Simplify right side
    3,463.01x = 9,780,866.09
  5. Step 5: Solve for x
    x = 9,780,866.09/3,463.01
  6. Step 6: Final answer
    x = 2,824.39

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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.