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Finding the Fourth Proportional to 2,713.72, 3,743.40 and 1,665.04

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Solution

The fourth proportional to 2,713.72, 3,743.40 and 1,665.04 is: 2,296.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,713.72 : 3,743.40 = 1,665.04 : x
  2. Step 2: Convert to fraction form
    2,713.72/3,743.40 = 1,665.04/x
  3. Step 3: Cross multiply
    2,713.72x = 3,743.40 × 1,665.04
  4. Step 4: Simplify right side
    2,713.72x = 6,232,910.74
  5. Step 5: Solve for x
    x = 6,232,910.74/2,713.72
  6. Step 6: Final answer
    x = 2,296.81

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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.