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Finding the Fourth Proportional to 2,129.10, 3,194.10 and 648.20

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Solution

The fourth proportional to 2,129.10, 3,194.10 and 648.20 is: 972.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129.10 : 3,194.10 = 648.20 : x
  2. Step 2: Convert to fraction form
    2,129.10/3,194.10 = 648.20/x
  3. Step 3: Cross multiply
    2,129.10x = 3,194.10 × 648.20
  4. Step 4: Simplify right side
    2,129.10x = 2,070,415.62
  5. Step 5: Solve for x
    x = 2,070,415.62/2,129.10
  6. Step 6: Final answer
    x = 972.44

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