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Finding the Fourth Proportional to 2,245.33, 3,368.17 and 764.10

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Solution

The fourth proportional to 2,245.33, 3,368.17 and 764.10 is: 1,146.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,245.33 : 3,368.17 = 764.10 : x
  2. Step 2: Convert to fraction form
    2,245.33/3,368.17 = 764.10/x
  3. Step 3: Cross multiply
    2,245.33x = 3,368.17 × 764.10
  4. Step 4: Simplify right side
    2,245.33x = 2,573,604.37
  5. Step 5: Solve for x
    x = 2,573,604.37/2,245.33
  6. Step 6: Final answer
    x = 1,146.20

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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.