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Finding the Fourth Proportional to 2,322.37, 3,197.86 and 2,007.06

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Solution

The fourth proportional to 2,322.37, 3,197.86 and 2,007.06 is: 2,763.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,322.37 : 3,197.86 = 2,007.06 : x
  2. Step 2: Convert to fraction form
    2,322.37/3,197.86 = 2,007.06/x
  3. Step 3: Cross multiply
    2,322.37x = 3,197.86 × 2,007.06
  4. Step 4: Simplify right side
    2,322.37x = 6,418,296.89
  5. Step 5: Solve for x
    x = 6,418,296.89/2,322.37
  6. Step 6: Final answer
    x = 2,763.68

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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.