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Finding the Fourth Proportional to 2,717.93, 3,750.62 and 1,538.97

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Solution

The fourth proportional to 2,717.93, 3,750.62 and 1,538.97 is: 2,123.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,717.93 : 3,750.62 = 1,538.97 : x
  2. Step 2: Convert to fraction form
    2,717.93/3,750.62 = 1,538.97/x
  3. Step 3: Cross multiply
    2,717.93x = 3,750.62 × 1,538.97
  4. Step 4: Simplify right side
    2,717.93x = 5,772,083.97
  5. Step 5: Solve for x
    x = 5,772,083.97/2,717.93
  6. Step 6: Final answer
    x = 2,123.71

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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.