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Finding the Fourth Proportional to 1,664.94, 2,295.06 and 1,399.26

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Solution

The fourth proportional to 1,664.94, 2,295.06 and 1,399.26 is: 1,928.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664.94 : 2,295.06 = 1,399.26 : x
  2. Step 2: Convert to fraction form
    1,664.94/2,295.06 = 1,399.26/x
  3. Step 3: Cross multiply
    1,664.94x = 2,295.06 × 1,399.26
  4. Step 4: Simplify right side
    1,664.94x = 3,211,385.66
  5. Step 5: Solve for x
    x = 3,211,385.66/1,664.94
  6. Step 6: Final answer
    x = 1,928.83

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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.