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Finding the Fourth Proportional to 2,169.90, 3,254.43 and 588.63

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Solution

The fourth proportional to 2,169.90, 3,254.43 and 588.63 is: 882.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,169.90 : 3,254.43 = 588.63 : x
  2. Step 2: Convert to fraction form
    2,169.90/3,254.43 = 588.63/x
  3. Step 3: Cross multiply
    2,169.90x = 3,254.43 × 588.63
  4. Step 4: Simplify right side
    2,169.90x = 1,915,655.13
  5. Step 5: Solve for x
    x = 1,915,655.13/2,169.90
  6. Step 6: Final answer
    x = 882.83

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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.