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Finding the Fourth Proportional to 1,791.60, 2,664.68 and 1,772.16

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Solution

The fourth proportional to 1,791.60, 2,664.68 and 1,772.16 is: 2,635.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,791.60 : 2,664.68 = 1,772.16 : x
  2. Step 2: Convert to fraction form
    1,791.60/2,664.68 = 1,772.16/x
  3. Step 3: Cross multiply
    1,791.60x = 2,664.68 × 1,772.16
  4. Step 4: Simplify right side
    1,791.60x = 4,722,239.31
  5. Step 5: Solve for x
    x = 4,722,239.31/1,791.60
  6. Step 6: Final answer
    x = 2,635.77

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.