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Finding the Fourth Proportional to 3,003.40, 4,505.10 and 812.35

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Solution

The fourth proportional to 3,003.40, 4,505.10 and 812.35 is: 1,218.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,003.40 : 4,505.10 = 812.35 : x
  2. Step 2: Convert to fraction form
    3,003.40/4,505.10 = 812.35/x
  3. Step 3: Cross multiply
    3,003.40x = 4,505.10 × 812.35
  4. Step 4: Simplify right side
    3,003.40x = 3,659,717.99
  5. Step 5: Solve for x
    x = 3,659,717.99/3,003.40
  6. Step 6: Final answer
    x = 1,218.53

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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.