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Finding the Fourth Proportional to 2,322.97, 3,206.21 and 1,606.16

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Solution

The fourth proportional to 2,322.97, 3,206.21 and 1,606.16 is: 2,216.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,322.97 : 3,206.21 = 1,606.16 : x
  2. Step 2: Convert to fraction form
    2,322.97/3,206.21 = 1,606.16/x
  3. Step 3: Cross multiply
    2,322.97x = 3,206.21 × 1,606.16
  4. Step 4: Simplify right side
    2,322.97x = 5,149,686.25
  5. Step 5: Solve for x
    x = 5,149,686.25/2,322.97
  6. Step 6: Final answer
    x = 2,216.85

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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.