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Finding the Fourth Proportional to 2,717.31, 3,750.03 and 1,538.49

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Solution

The fourth proportional to 2,717.31, 3,750.03 and 1,538.49 is: 2,123.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,717.31 : 3,750.03 = 1,538.49 : x
  2. Step 2: Convert to fraction form
    2,717.31/3,750.03 = 1,538.49/x
  3. Step 3: Cross multiply
    2,717.31x = 3,750.03 × 1,538.49
  4. Step 4: Simplify right side
    2,717.31x = 5,769,383.65
  5. Step 5: Solve for x
    x = 5,769,383.65/2,717.31
  6. Step 6: Final answer
    x = 2,123.20

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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.