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Finding the Fourth Proportional to 1,559.72, 2,152.41 and 861.09

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Solution

The fourth proportional to 1,559.72, 2,152.41 and 861.09 is: 1,188.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,559.72 : 2,152.41 = 861.09 : x
  2. Step 2: Convert to fraction form
    1,559.72/2,152.41 = 861.09/x
  3. Step 3: Cross multiply
    1,559.72x = 2,152.41 × 861.09
  4. Step 4: Simplify right side
    1,559.72x = 1,853,430.03
  5. Step 5: Solve for x
    x = 1,853,430.03/1,559.72
  6. Step 6: Final answer
    x = 1,188.31

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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.