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Finding the Fourth Proportional to 2,325.81, 3,206.75 and 1,662.42

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Solution

The fourth proportional to 2,325.81, 3,206.75 and 1,662.42 is: 2,292.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,325.81 : 3,206.75 = 1,662.42 : x
  2. Step 2: Convert to fraction form
    2,325.81/3,206.75 = 1,662.42/x
  3. Step 3: Cross multiply
    2,325.81x = 3,206.75 × 1,662.42
  4. Step 4: Simplify right side
    2,325.81x = 5,330,957.02
  5. Step 5: Solve for x
    x = 5,330,957.02/2,325.81
  6. Step 6: Final answer
    x = 2,292.09

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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.