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Finding the Fourth Proportional to 1,608.85, 2,221.59 and 1,020.43

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Solution

The fourth proportional to 1,608.85, 2,221.59 and 1,020.43 is: 1,409.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,608.85 : 2,221.59 = 1,020.43 : x
  2. Step 2: Convert to fraction form
    1,608.85/2,221.59 = 1,020.43/x
  3. Step 3: Cross multiply
    1,608.85x = 2,221.59 × 1,020.43
  4. Step 4: Simplify right side
    1,608.85x = 2,266,977.08
  5. Step 5: Solve for x
    x = 2,266,977.08/1,608.85
  6. Step 6: Final answer
    x = 1,409.07

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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.