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Finding the Fourth Proportional to 2,564.49, 3,847.50 and 921.18

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Solution

The fourth proportional to 2,564.49, 3,847.50 and 921.18 is: 1,382.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564.49 : 3,847.50 = 921.18 : x
  2. Step 2: Convert to fraction form
    2,564.49/3,847.50 = 921.18/x
  3. Step 3: Cross multiply
    2,564.49x = 3,847.50 × 921.18
  4. Step 4: Simplify right side
    2,564.49x = 3,544,240.05
  5. Step 5: Solve for x
    x = 3,544,240.05/2,564.49
  6. Step 6: Final answer
    x = 1,382.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.