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Finding the Fourth Proportional to 2,129.23, 3,193.85 and 668.40

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Solution

The fourth proportional to 2,129.23, 3,193.85 and 668.40 is: 1,002.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129.23 : 3,193.85 = 668.40 : x
  2. Step 2: Convert to fraction form
    2,129.23/3,193.85 = 668.40/x
  3. Step 3: Cross multiply
    2,129.23x = 3,193.85 × 668.40
  4. Step 4: Simplify right side
    2,129.23x = 2,134,769.34
  5. Step 5: Solve for x
    x = 2,134,769.34/2,129.23
  6. Step 6: Final answer
    x = 1,002.60

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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.