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Finding the Fourth Proportional to 2,713.14, 4,072.08 and 1,327.50

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Solution

The fourth proportional to 2,713.14, 4,072.08 and 1,327.50 is: 1,992.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,713.14 : 4,072.08 = 1,327.50 : x
  2. Step 2: Convert to fraction form
    2,713.14/4,072.08 = 1,327.50/x
  3. Step 3: Cross multiply
    2,713.14x = 4,072.08 × 1,327.50
  4. Step 4: Simplify right side
    2,713.14x = 5,405,686.20
  5. Step 5: Solve for x
    x = 5,405,686.20/2,713.14
  6. Step 6: Final answer
    x = 1,992.41

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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.