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Finding the Fourth Proportional to 2,735.88, 4,105.54 and 1,254.88

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Solution

The fourth proportional to 2,735.88, 4,105.54 and 1,254.88 is: 1,883.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,735.88 : 4,105.54 = 1,254.88 : x
  2. Step 2: Convert to fraction form
    2,735.88/4,105.54 = 1,254.88/x
  3. Step 3: Cross multiply
    2,735.88x = 4,105.54 × 1,254.88
  4. Step 4: Simplify right side
    2,735.88x = 5,151,960.04
  5. Step 5: Solve for x
    x = 5,151,960.04/2,735.88
  6. Step 6: Final answer
    x = 1,883.11

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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.