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Finding the Fourth Proportional to 2,150.10, 3,227.55 and 2,009.10

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Solution

The fourth proportional to 2,150.10, 3,227.55 and 2,009.10 is: 3,015.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,150.10 : 3,227.55 = 2,009.10 : x
  2. Step 2: Convert to fraction form
    2,150.10/3,227.55 = 2,009.10/x
  3. Step 3: Cross multiply
    2,150.10x = 3,227.55 × 2,009.10
  4. Step 4: Simplify right side
    2,150.10x = 6,484,470.71
  5. Step 5: Solve for x
    x = 6,484,470.71/2,150.10
  6. Step 6: Final answer
    x = 3,015.89

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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.