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Finding the Fourth Proportional to 2,767.88, 4,144.94 and 1,610.12

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Solution

The fourth proportional to 2,767.88, 4,144.94 and 1,610.12 is: 2,411.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,767.88 : 4,144.94 = 1,610.12 : x
  2. Step 2: Convert to fraction form
    2,767.88/4,144.94 = 1,610.12/x
  3. Step 3: Cross multiply
    2,767.88x = 4,144.94 × 1,610.12
  4. Step 4: Simplify right side
    2,767.88x = 6,673,850.79
  5. Step 5: Solve for x
    x = 6,673,850.79/2,767.88
  6. Step 6: Final answer
    x = 2,411.18

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1.5x scale

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.