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Finding the Fourth Proportional to 2,251.12, 3,376.56 and 712

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Solution

The fourth proportional to 2,251.12, 3,376.56 and 712 is: 1,067.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,251.12 : 3,376.56 = 712 : x
  2. Step 2: Convert to fraction form
    2,251.12/3,376.56 = 712/x
  3. Step 3: Cross multiply
    2,251.12x = 3,376.56 × 712
  4. Step 4: Simplify right side
    2,251.12x = 2,404,110.72
  5. Step 5: Solve for x
    x = 2,404,110.72/2,251.12
  6. Step 6: Final answer
    x = 1,067.96

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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.