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Finding the Fourth Proportional to 2,824.16, 4,235.94 and 1,264.22

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Solution

The fourth proportional to 2,824.16, 4,235.94 and 1,264.22 is: 1,896.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,824.16 : 4,235.94 = 1,264.22 : x
  2. Step 2: Convert to fraction form
    2,824.16/4,235.94 = 1,264.22/x
  3. Step 3: Cross multiply
    2,824.16x = 4,235.94 × 1,264.22
  4. Step 4: Simplify right side
    2,824.16x = 5,355,160.07
  5. Step 5: Solve for x
    x = 5,355,160.07/2,824.16
  6. Step 6: Final answer
    x = 1,896.20

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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.