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Finding the Fourth Proportional to 2,063.12, 3,093.24 and 764.42

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Solution

The fourth proportional to 2,063.12, 3,093.24 and 764.42 is: 1,146.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,063.12 : 3,093.24 = 764.42 : x
  2. Step 2: Convert to fraction form
    2,063.12/3,093.24 = 764.42/x
  3. Step 3: Cross multiply
    2,063.12x = 3,093.24 × 764.42
  4. Step 4: Simplify right side
    2,063.12x = 2,364,534.52
  5. Step 5: Solve for x
    x = 2,364,534.52/2,063.12
  6. Step 6: Final answer
    x = 1,146.10

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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.