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Finding the Fourth Proportional to 2,660.79, 3,668.64 and 1,664.34

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Solution

The fourth proportional to 2,660.79, 3,668.64 and 1,664.34 is: 2,294.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,660.79 : 3,668.64 = 1,664.34 : x
  2. Step 2: Convert to fraction form
    2,660.79/3,668.64 = 1,664.34/x
  3. Step 3: Cross multiply
    2,660.79x = 3,668.64 × 1,664.34
  4. Step 4: Simplify right side
    2,660.79x = 6,105,844.30
  5. Step 5: Solve for x
    x = 6,105,844.30/2,660.79
  6. Step 6: Final answer
    x = 2,294.75

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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.