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Finding the Fourth Proportional to 2,012.44, 3,016.68 and 713.02

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Solution

The fourth proportional to 2,012.44, 3,016.68 and 713.02 is: 1,068.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,012.44 : 3,016.68 = 713.02 : x
  2. Step 2: Convert to fraction form
    2,012.44/3,016.68 = 713.02/x
  3. Step 3: Cross multiply
    2,012.44x = 3,016.68 × 713.02
  4. Step 4: Simplify right side
    2,012.44x = 2,150,953.17
  5. Step 5: Solve for x
    x = 2,150,953.17/2,012.44
  6. Step 6: Final answer
    x = 1,068.83

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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.