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Finding the Fourth Proportional to 2,832.14, 3,908.07 and 1,572.89

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Solution

The fourth proportional to 2,832.14, 3,908.07 and 1,572.89 is: 2,170.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,832.14 : 3,908.07 = 1,572.89 : x
  2. Step 2: Convert to fraction form
    2,832.14/3,908.07 = 1,572.89/x
  3. Step 3: Cross multiply
    2,832.14x = 3,908.07 × 1,572.89
  4. Step 4: Simplify right side
    2,832.14x = 6,146,964.22
  5. Step 5: Solve for x
    x = 6,146,964.22/2,832.14
  6. Step 6: Final answer
    x = 2,170.43

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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.