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Finding the Fourth Proportional to 2,011.59, 3,016.77 and 712.75

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Solution

The fourth proportional to 2,011.59, 3,016.77 and 712.75 is: 1,068.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,011.59 : 3,016.77 = 712.75 : x
  2. Step 2: Convert to fraction form
    2,011.59/3,016.77 = 712.75/x
  3. Step 3: Cross multiply
    2,011.59x = 3,016.77 × 712.75
  4. Step 4: Simplify right side
    2,011.59x = 2,150,202.82
  5. Step 5: Solve for x
    x = 2,150,202.82/2,011.59
  6. Step 6: Final answer
    x = 1,068.91

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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.