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Finding the Fourth Proportional to 2,762.88, 4,144.96 and 1,224

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Solution

The fourth proportional to 2,762.88, 4,144.96 and 1,224 is: 1,836.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762.88 : 4,144.96 = 1,224 : x
  2. Step 2: Convert to fraction form
    2,762.88/4,144.96 = 1,224/x
  3. Step 3: Cross multiply
    2,762.88x = 4,144.96 × 1,224
  4. Step 4: Simplify right side
    2,762.88x = 5,073,431.04
  5. Step 5: Solve for x
    x = 5,073,431.04/2,762.88
  6. Step 6: Final answer
    x = 1,836.28

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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.