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Finding the Fourth Proportional to 2,774.13, 4,163.03 and 1,542.42

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Solution

The fourth proportional to 2,774.13, 4,163.03 and 1,542.42 is: 2,314.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.13 : 4,163.03 = 1,542.42 : x
  2. Step 2: Convert to fraction form
    2,774.13/4,163.03 = 1,542.42/x
  3. Step 3: Cross multiply
    2,774.13x = 4,163.03 × 1,542.42
  4. Step 4: Simplify right side
    2,774.13x = 6,421,133.02
  5. Step 5: Solve for x
    x = 6,421,133.02/2,774.13
  6. Step 6: Final answer
    x = 2,314.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.