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Finding the Fourth Proportional to 1,598.83, 2,393.91 and 827.71

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Solution

The fourth proportional to 1,598.83, 2,393.91 and 827.71 is: 1,239.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,598.83 : 2,393.91 = 827.71 : x
  2. Step 2: Convert to fraction form
    1,598.83/2,393.91 = 827.71/x
  3. Step 3: Cross multiply
    1,598.83x = 2,393.91 × 827.71
  4. Step 4: Simplify right side
    1,598.83x = 1,981,463.25
  5. Step 5: Solve for x
    x = 1,981,463.25/1,598.83
  6. Step 6: Final answer
    x = 1,239.32

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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.