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Finding the Fourth Proportional to 2,717.44, 3,750.10 and 1,538.48

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Solution

The fourth proportional to 2,717.44, 3,750.10 and 1,538.48 is: 2,123.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,717.44 : 3,750.10 = 1,538.48 : x
  2. Step 2: Convert to fraction form
    2,717.44/3,750.10 = 1,538.48/x
  3. Step 3: Cross multiply
    2,717.44x = 3,750.10 × 1,538.48
  4. Step 4: Simplify right side
    2,717.44x = 5,769,459.38
  5. Step 5: Solve for x
    x = 5,769,459.38/2,717.44
  6. Step 6: Final answer
    x = 2,123.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.