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Finding the Fourth Proportional to 1,608.88, 2,222.07 and 1,084

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Solution

The fourth proportional to 1,608.88, 2,222.07 and 1,084 is: 1,497.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,608.88 : 2,222.07 = 1,084 : x
  2. Step 2: Convert to fraction form
    1,608.88/2,222.07 = 1,084/x
  3. Step 3: Cross multiply
    1,608.88x = 2,222.07 × 1,084
  4. Step 4: Simplify right side
    1,608.88x = 2,408,723.88
  5. Step 5: Solve for x
    x = 2,408,723.88/1,608.88
  6. Step 6: Final answer
    x = 1,497.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.