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Finding the Fourth Proportional to 2,717.34, 3,749.93 and 1,538.38

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Solution

The fourth proportional to 2,717.34, 3,749.93 and 1,538.38 is: 2,122.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,717.34 : 3,749.93 = 1,538.38 : x
  2. Step 2: Convert to fraction form
    2,717.34/3,749.93 = 1,538.38/x
  3. Step 3: Cross multiply
    2,717.34x = 3,749.93 × 1,538.38
  4. Step 4: Simplify right side
    2,717.34x = 5,768,817.31
  5. Step 5: Solve for x
    x = 5,768,817.31/2,717.34
  6. Step 6: Final answer
    x = 2,122.96

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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.