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Finding the Fourth Proportional to 1,664.64, 2,295.91 and 1,067.19

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Solution

The fourth proportional to 1,664.64, 2,295.91 and 1,067.19 is: 1,471.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664.64 : 2,295.91 = 1,067.19 : x
  2. Step 2: Convert to fraction form
    1,664.64/2,295.91 = 1,067.19/x
  3. Step 3: Cross multiply
    1,664.64x = 2,295.91 × 1,067.19
  4. Step 4: Simplify right side
    1,664.64x = 2,450,176.60
  5. Step 5: Solve for x
    x = 2,450,176.60/1,664.64
  6. Step 6: Final answer
    x = 1,471.89

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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.