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Finding the Fourth Proportional to 2,225.47, 3,338.69 and 764.66

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Solution

The fourth proportional to 2,225.47, 3,338.69 and 764.66 is: 1,147.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,225.47 : 3,338.69 = 764.66 : x
  2. Step 2: Convert to fraction form
    2,225.47/3,338.69 = 764.66/x
  3. Step 3: Cross multiply
    2,225.47x = 3,338.69 × 764.66
  4. Step 4: Simplify right side
    2,225.47x = 2,552,942.18
  5. Step 5: Solve for x
    x = 2,552,942.18/2,225.47
  6. Step 6: Final answer
    x = 1,147.15

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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.