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Finding the Fourth Proportional to 1,337.72, 1,997.69 and 1,323.24

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Solution

The fourth proportional to 1,337.72, 1,997.69 and 1,323.24 is: 1,976.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,337.72 : 1,997.69 = 1,323.24 : x
  2. Step 2: Convert to fraction form
    1,337.72/1,997.69 = 1,323.24/x
  3. Step 3: Cross multiply
    1,337.72x = 1,997.69 × 1,323.24
  4. Step 4: Simplify right side
    1,337.72x = 2,643,423.32
  5. Step 5: Solve for x
    x = 2,643,423.32/1,337.72
  6. Step 6: Final answer
    x = 1,976.07

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.