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Finding the Fourth Proportional to 2,367.37, 3,263.79 and 1,658.26

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Solution

The fourth proportional to 2,367.37, 3,263.79 and 1,658.26 is: 2,286.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,367.37 : 3,263.79 = 1,658.26 : x
  2. Step 2: Convert to fraction form
    2,367.37/3,263.79 = 1,658.26/x
  3. Step 3: Cross multiply
    2,367.37x = 3,263.79 × 1,658.26
  4. Step 4: Simplify right side
    2,367.37x = 5,412,212.41
  5. Step 5: Solve for x
    x = 5,412,212.41/2,367.37
  6. Step 6: Final answer
    x = 2,286.17

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