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Finding the Fourth Proportional to 2,278.98, 3,418.74 and 818.01

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Solution

The fourth proportional to 2,278.98, 3,418.74 and 818.01 is: 1,227.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,278.98 : 3,418.74 = 818.01 : x
  2. Step 2: Convert to fraction form
    2,278.98/3,418.74 = 818.01/x
  3. Step 3: Cross multiply
    2,278.98x = 3,418.74 × 818.01
  4. Step 4: Simplify right side
    2,278.98x = 2,796,563.51
  5. Step 5: Solve for x
    x = 2,796,563.51/2,278.98
  6. Step 6: Final answer
    x = 1,227.11

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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.