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Finding the Fourth Proportional to 3,292.66, 4,936.42 and 1,648.36

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Solution

The fourth proportional to 3,292.66, 4,936.42 and 1,648.36 is: 2,471.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,292.66 : 4,936.42 = 1,648.36 : x
  2. Step 2: Convert to fraction form
    3,292.66/4,936.42 = 1,648.36/x
  3. Step 3: Cross multiply
    3,292.66x = 4,936.42 × 1,648.36
  4. Step 4: Simplify right side
    3,292.66x = 8,136,997.27
  5. Step 5: Solve for x
    x = 8,136,997.27/3,292.66
  6. Step 6: Final answer
    x = 2,471.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.