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Finding the Fourth Proportional to 1,945.03, 2,684.22 and 1,105.81

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Solution

The fourth proportional to 1,945.03, 2,684.22 and 1,105.81 is: 1,526.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,945.03 : 2,684.22 = 1,105.81 : x
  2. Step 2: Convert to fraction form
    1,945.03/2,684.22 = 1,105.81/x
  3. Step 3: Cross multiply
    1,945.03x = 2,684.22 × 1,105.81
  4. Step 4: Simplify right side
    1,945.03x = 2,968,237.32
  5. Step 5: Solve for x
    x = 2,968,237.32/1,945.03
  6. Step 6: Final answer
    x = 1,526.06

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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.