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Finding the Fourth Proportional to 2,317.05, 3,197.04 and 1,322.31

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Solution

The fourth proportional to 2,317.05, 3,197.04 and 1,322.31 is: 1,824.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,317.05 : 3,197.04 = 1,322.31 : x
  2. Step 2: Convert to fraction form
    2,317.05/3,197.04 = 1,322.31/x
  3. Step 3: Cross multiply
    2,317.05x = 3,197.04 × 1,322.31
  4. Step 4: Simplify right side
    2,317.05x = 4,227,477.96
  5. Step 5: Solve for x
    x = 4,227,477.96/2,317.05
  6. Step 6: Final answer
    x = 1,824.51

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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.