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Finding the Fourth Proportional to 2,011.76, 3,015.52 and 712.32

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Solution

The fourth proportional to 2,011.76, 3,015.52 and 712.32 is: 1,067.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,011.76 : 3,015.52 = 712.32 : x
  2. Step 2: Convert to fraction form
    2,011.76/3,015.52 = 712.32/x
  3. Step 3: Cross multiply
    2,011.76x = 3,015.52 × 712.32
  4. Step 4: Simplify right side
    2,011.76x = 2,148,015.21
  5. Step 5: Solve for x
    x = 2,148,015.21/2,011.76
  6. Step 6: Final answer
    x = 1,067.73

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