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Finding the Fourth Proportional to 2,738.92, 4,098 and 1,666.36

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Solution

The fourth proportional to 2,738.92, 4,098 and 1,666.36 is: 2,493.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,738.92 : 4,098 = 1,666.36 : x
  2. Step 2: Convert to fraction form
    2,738.92/4,098 = 1,666.36/x
  3. Step 3: Cross multiply
    2,738.92x = 4,098 × 1,666.36
  4. Step 4: Simplify right side
    2,738.92x = 6,828,743.28
  5. Step 5: Solve for x
    x = 6,828,743.28/2,738.92
  6. Step 6: Final answer
    x = 2,493.22

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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.