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Finding the Fourth Proportional to 1,518.56, 2,093.67 and 1,020.81

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Solution

The fourth proportional to 1,518.56, 2,093.67 and 1,020.81 is: 1,407.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,518.56 : 2,093.67 = 1,020.81 : x
  2. Step 2: Convert to fraction form
    1,518.56/2,093.67 = 1,020.81/x
  3. Step 3: Cross multiply
    1,518.56x = 2,093.67 × 1,020.81
  4. Step 4: Simplify right side
    1,518.56x = 2,137,239.27
  5. Step 5: Solve for x
    x = 2,137,239.27/1,518.56
  6. Step 6: Final answer
    x = 1,407.41

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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.