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Finding the Fourth Proportional to 3,290.83, 4,936.24 and 1,511.69

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Solution

The fourth proportional to 3,290.83, 4,936.24 and 1,511.69 is: 2,267.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,290.83 : 4,936.24 = 1,511.69 : x
  2. Step 2: Convert to fraction form
    3,290.83/4,936.24 = 1,511.69/x
  3. Step 3: Cross multiply
    3,290.83x = 4,936.24 × 1,511.69
  4. Step 4: Simplify right side
    3,290.83x = 7,462,055.74
  5. Step 5: Solve for x
    x = 7,462,055.74/3,290.83
  6. Step 6: Final answer
    x = 2,267.53

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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.