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Finding the Fourth Proportional to 1,960.83, 2,937.92 and 972.32

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Solution

The fourth proportional to 1,960.83, 2,937.92 and 972.32 is: 1,456.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,960.83 : 2,937.92 = 972.32 : x
  2. Step 2: Convert to fraction form
    1,960.83/2,937.92 = 972.32/x
  3. Step 3: Cross multiply
    1,960.83x = 2,937.92 × 972.32
  4. Step 4: Simplify right side
    1,960.83x = 2,856,578.82
  5. Step 5: Solve for x
    x = 2,856,578.82/1,960.83
  6. Step 6: Final answer
    x = 1,456.82

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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.