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Finding the Fourth Proportional to 1,945.76, 2,683.87 and 1,447.77

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Solution

The fourth proportional to 1,945.76, 2,683.87 and 1,447.77 is: 1,996.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,945.76 : 2,683.87 = 1,447.77 : x
  2. Step 2: Convert to fraction form
    1,945.76/2,683.87 = 1,447.77/x
  3. Step 3: Cross multiply
    1,945.76x = 2,683.87 × 1,447.77
  4. Step 4: Simplify right side
    1,945.76x = 3,885,632.91
  5. Step 5: Solve for x
    x = 3,885,632.91/1,945.76
  6. Step 6: Final answer
    x = 1,996.98

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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.