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Finding the Fourth Proportional to 2,192.58, 3,288.78 and 549.09

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Solution

The fourth proportional to 2,192.58, 3,288.78 and 549.09 is: 823.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,192.58 : 3,288.78 = 549.09 : x
  2. Step 2: Convert to fraction form
    2,192.58/3,288.78 = 549.09/x
  3. Step 3: Cross multiply
    2,192.58x = 3,288.78 × 549.09
  4. Step 4: Simplify right side
    2,192.58x = 1,805,836.21
  5. Step 5: Solve for x
    x = 1,805,836.21/2,192.58
  6. Step 6: Final answer
    x = 823.61

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1.5x scale

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.