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Finding the Fourth Proportional to 1,860.30, 2,789.73 and 764.28

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Solution

The fourth proportional to 1,860.30, 2,789.73 and 764.28 is: 1,146.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,860.30 : 2,789.73 = 764.28 : x
  2. Step 2: Convert to fraction form
    1,860.30/2,789.73 = 764.28/x
  3. Step 3: Cross multiply
    1,860.30x = 2,789.73 × 764.28
  4. Step 4: Simplify right side
    1,860.30x = 2,132,134.84
  5. Step 5: Solve for x
    x = 2,132,134.84/1,860.30
  6. Step 6: Final answer
    x = 1,146.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.