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Finding the Fourth Proportional to 2,147.94, 3,221.64 and 588.06

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Solution

The fourth proportional to 2,147.94, 3,221.64 and 588.06 is: 882.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,147.94 : 3,221.64 = 588.06 : x
  2. Step 2: Convert to fraction form
    2,147.94/3,221.64 = 588.06/x
  3. Step 3: Cross multiply
    2,147.94x = 3,221.64 × 588.06
  4. Step 4: Simplify right side
    2,147.94x = 1,894,517.62
  5. Step 5: Solve for x
    x = 1,894,517.62/2,147.94
  6. Step 6: Final answer
    x = 882.02

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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.