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Finding the Fourth Proportional to 2,507.92, 3,458.67 and 1,622.80

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Solution

The fourth proportional to 2,507.92, 3,458.67 and 1,622.80 is: 2,238.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,507.92 : 3,458.67 = 1,622.80 : x
  2. Step 2: Convert to fraction form
    2,507.92/3,458.67 = 1,622.80/x
  3. Step 3: Cross multiply
    2,507.92x = 3,458.67 × 1,622.80
  4. Step 4: Simplify right side
    2,507.92x = 5,612,729.68
  5. Step 5: Solve for x
    x = 5,612,729.68/2,507.92
  6. Step 6: Final answer
    x = 2,238.00

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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.