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Finding the Fourth Proportional to 1,765.14, 2,648.25 and 1,272.66

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Solution

The fourth proportional to 1,765.14, 2,648.25 and 1,272.66 is: 1,909.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,765.14 : 2,648.25 = 1,272.66 : x
  2. Step 2: Convert to fraction form
    1,765.14/2,648.25 = 1,272.66/x
  3. Step 3: Cross multiply
    1,765.14x = 2,648.25 × 1,272.66
  4. Step 4: Simplify right side
    1,765.14x = 3,370,321.85
  5. Step 5: Solve for x
    x = 3,370,321.85/1,765.14
  6. Step 6: Final answer
    x = 1,909.38

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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.