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Finding the Fourth Proportional to 1,860.10, 2,789.08 and 765.22

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Solution

The fourth proportional to 1,860.10, 2,789.08 and 765.22 is: 1,147.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,860.10 : 2,789.08 = 765.22 : x
  2. Step 2: Convert to fraction form
    1,860.10/2,789.08 = 765.22/x
  3. Step 3: Cross multiply
    1,860.10x = 2,789.08 × 765.22
  4. Step 4: Simplify right side
    1,860.10x = 2,134,259.80
  5. Step 5: Solve for x
    x = 2,134,259.80/1,860.10
  6. Step 6: Final answer
    x = 1,147.39

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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.