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Finding the Fourth Proportional to 2,011.06, 3,021.46 and 1,282.06

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Solution

The fourth proportional to 2,011.06, 3,021.46 and 1,282.06 is: 1,926.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,011.06 : 3,021.46 = 1,282.06 : x
  2. Step 2: Convert to fraction form
    2,011.06/3,021.46 = 1,282.06/x
  3. Step 3: Cross multiply
    2,011.06x = 3,021.46 × 1,282.06
  4. Step 4: Simplify right side
    2,011.06x = 3,873,693.01
  5. Step 5: Solve for x
    x = 3,873,693.01/2,011.06
  6. Step 6: Final answer
    x = 1,926.19

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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.