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Finding the Fourth Proportional to 2,225.43, 3,338.01 and 764.55

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Solution

The fourth proportional to 2,225.43, 3,338.01 and 764.55 is: 1,146.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,225.43 : 3,338.01 = 764.55 : x
  2. Step 2: Convert to fraction form
    2,225.43/3,338.01 = 764.55/x
  3. Step 3: Cross multiply
    2,225.43x = 3,338.01 × 764.55
  4. Step 4: Simplify right side
    2,225.43x = 2,552,075.55
  5. Step 5: Solve for x
    x = 2,552,075.55/2,225.43
  6. Step 6: Final answer
    x = 1,146.78

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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.