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Finding the Fourth Proportional to 1,769.54, 2,648.84 and 945.77

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Solution

The fourth proportional to 1,769.54, 2,648.84 and 945.77 is: 1,415.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,769.54 : 2,648.84 = 945.77 : x
  2. Step 2: Convert to fraction form
    1,769.54/2,648.84 = 945.77/x
  3. Step 3: Cross multiply
    1,769.54x = 2,648.84 × 945.77
  4. Step 4: Simplify right side
    1,769.54x = 2,505,175.43
  5. Step 5: Solve for x
    x = 2,505,175.43/1,769.54
  6. Step 6: Final answer
    x = 1,415.73

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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.