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Finding the Fourth Proportional to 2,717.47, 3,749.92 and 1,538.47

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Solution

The fourth proportional to 2,717.47, 3,749.92 and 1,538.47 is: 2,122.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,717.47 : 3,749.92 = 1,538.47 : x
  2. Step 2: Convert to fraction form
    2,717.47/3,749.92 = 1,538.47/x
  3. Step 3: Cross multiply
    2,717.47x = 3,749.92 × 1,538.47
  4. Step 4: Simplify right side
    2,717.47x = 5,769,112.98
  5. Step 5: Solve for x
    x = 5,769,112.98/2,717.47
  6. Step 6: Final answer
    x = 2,122.98

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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.