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Finding the Fourth Proportional to 2,357.73, 3,529.31 and 2,007.81

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Solution

The fourth proportional to 2,357.73, 3,529.31 and 2,007.81 is: 3,005.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.73 : 3,529.31 = 2,007.81 : x
  2. Step 2: Convert to fraction form
    2,357.73/3,529.31 = 2,007.81/x
  3. Step 3: Cross multiply
    2,357.73x = 3,529.31 × 2,007.81
  4. Step 4: Simplify right side
    2,357.73x = 7,086,173.87
  5. Step 5: Solve for x
    x = 7,086,173.87/2,357.73
  6. Step 6: Final answer
    x = 3,005.51

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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.