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Finding the Fourth Proportional to 3,232.67, 4,849.00 and 1,284.75

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Solution

The fourth proportional to 3,232.67, 4,849.00 and 1,284.75 is: 1,927.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,232.67 : 4,849.00 = 1,284.75 : x
  2. Step 2: Convert to fraction form
    3,232.67/4,849.00 = 1,284.75/x
  3. Step 3: Cross multiply
    3,232.67x = 4,849.00 × 1,284.75
  4. Step 4: Simplify right side
    3,232.67x = 6,229,749.54
  5. Step 5: Solve for x
    x = 6,229,749.54/3,232.67
  6. Step 6: Final answer
    x = 1,927.13

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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.