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Finding the Fourth Proportional to 3,009.83, 4,511.56 and 1,448.86

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Solution

The fourth proportional to 3,009.83, 4,511.56 and 1,448.86 is: 2,171.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,009.83 : 4,511.56 = 1,448.86 : x
  2. Step 2: Convert to fraction form
    3,009.83/4,511.56 = 1,448.86/x
  3. Step 3: Cross multiply
    3,009.83x = 4,511.56 × 1,448.86
  4. Step 4: Simplify right side
    3,009.83x = 6,536,618.82
  5. Step 5: Solve for x
    x = 6,536,618.82/3,009.83
  6. Step 6: Final answer
    x = 2,171.76

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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.