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Finding the Fourth Proportional to 2,129.40, 3,193.80 and 812.79

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Solution

The fourth proportional to 2,129.40, 3,193.80 and 812.79 is: 1,219.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129.40 : 3,193.80 = 812.79 : x
  2. Step 2: Convert to fraction form
    2,129.40/3,193.80 = 812.79/x
  3. Step 3: Cross multiply
    2,129.40x = 3,193.80 × 812.79
  4. Step 4: Simplify right side
    2,129.40x = 2,595,888.70
  5. Step 5: Solve for x
    x = 2,595,888.70/2,129.40
  6. Step 6: Final answer
    x = 1,219.07

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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.