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Finding the Fourth Proportional to 2,225.21, 3,338.04 and 764.17

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Solution

The fourth proportional to 2,225.21, 3,338.04 and 764.17 is: 1,146.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,225.21 : 3,338.04 = 764.17 : x
  2. Step 2: Convert to fraction form
    2,225.21/3,338.04 = 764.17/x
  3. Step 3: Cross multiply
    2,225.21x = 3,338.04 × 764.17
  4. Step 4: Simplify right side
    2,225.21x = 2,550,830.03
  5. Step 5: Solve for x
    x = 2,550,830.03/2,225.21
  6. Step 6: Final answer
    x = 1,146.33

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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.