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Finding the Fourth Proportional to 3,289, 4,538.82 and 1,817

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Solution

The fourth proportional to 3,289, 4,538.82 and 1,817 is: 2,507.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,289 : 4,538.82 = 1,817 : x
  2. Step 2: Convert to fraction form
    3,289/4,538.82 = 1,817/x
  3. Step 3: Cross multiply
    3,289x = 4,538.82 × 1,817
  4. Step 4: Simplify right side
    3,289x = 8,247,035.94
  5. Step 5: Solve for x
    x = 8,247,035.94/3,289
  6. Step 6: Final answer
    x = 2,507.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.