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Finding the Fourth Proportional to 3,284.96, 4,927.76 and 1,232.96

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Solution

The fourth proportional to 3,284.96, 4,927.76 and 1,232.96 is: 1,849.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,284.96 : 4,927.76 = 1,232.96 : x
  2. Step 2: Convert to fraction form
    3,284.96/4,927.76 = 1,232.96/x
  3. Step 3: Cross multiply
    3,284.96x = 4,927.76 × 1,232.96
  4. Step 4: Simplify right side
    3,284.96x = 6,075,730.97
  5. Step 5: Solve for x
    x = 6,075,730.97/3,284.96
  6. Step 6: Final answer
    x = 1,849.56

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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.