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Finding the Fourth Proportional to 1,862.10, 2,786.10 and 1,149.89

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Solution

The fourth proportional to 1,862.10, 2,786.10 and 1,149.89 is: 1,720.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,862.10 : 2,786.10 = 1,149.89 : x
  2. Step 2: Convert to fraction form
    1,862.10/2,786.10 = 1,149.89/x
  3. Step 3: Cross multiply
    1,862.10x = 2,786.10 × 1,149.89
  4. Step 4: Simplify right side
    1,862.10x = 3,203,694.60
  5. Step 5: Solve for x
    x = 3,203,694.60/1,862.10
  6. Step 6: Final answer
    x = 1,720.47

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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.