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Finding the Fourth Proportional to 1,352.72, 2,031.82 and 805.97

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Solution

The fourth proportional to 1,352.72, 2,031.82 and 805.97 is: 1,210.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,352.72 : 2,031.82 = 805.97 : x
  2. Step 2: Convert to fraction form
    1,352.72/2,031.82 = 805.97/x
  3. Step 3: Cross multiply
    1,352.72x = 2,031.82 × 805.97
  4. Step 4: Simplify right side
    1,352.72x = 1,637,589.03
  5. Step 5: Solve for x
    x = 1,637,589.03/1,352.72
  6. Step 6: Final answer
    x = 1,210.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.