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Finding the Fourth Proportional to 1,945.00, 2,684.03 and 1,060.78

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Solution

The fourth proportional to 1,945.00, 2,684.03 and 1,060.78 is: 1,463.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,945.00 : 2,684.03 = 1,060.78 : x
  2. Step 2: Convert to fraction form
    1,945.00/2,684.03 = 1,060.78/x
  3. Step 3: Cross multiply
    1,945.00x = 2,684.03 × 1,060.78
  4. Step 4: Simplify right side
    1,945.00x = 2,847,163.39
  5. Step 5: Solve for x
    x = 2,847,163.39/1,945.00
  6. Step 6: Final answer
    x = 1,463.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.