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Finding the Fourth Proportional to 2,181.99, 3,272.95 and 538.57

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Solution

The fourth proportional to 2,181.99, 3,272.95 and 538.57 is: 807.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,181.99 : 3,272.95 = 538.57 : x
  2. Step 2: Convert to fraction form
    2,181.99/3,272.95 = 538.57/x
  3. Step 3: Cross multiply
    2,181.99x = 3,272.95 × 538.57
  4. Step 4: Simplify right side
    2,181.99x = 1,762,712.68
  5. Step 5: Solve for x
    x = 1,762,712.68/2,181.99
  6. Step 6: Final answer
    x = 807.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.