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Finding the Fourth Proportional to 2,279.09, 3,420.25 and 818.45

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Solution

The fourth proportional to 2,279.09, 3,420.25 and 818.45 is: 1,228.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,279.09 : 3,420.25 = 818.45 : x
  2. Step 2: Convert to fraction form
    2,279.09/3,420.25 = 818.45/x
  3. Step 3: Cross multiply
    2,279.09x = 3,420.25 × 818.45
  4. Step 4: Simplify right side
    2,279.09x = 2,799,318.83
  5. Step 5: Solve for x
    x = 2,799,318.83/2,279.09
  6. Step 6: Final answer
    x = 1,228.26

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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.