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Finding the Fourth Proportional to 1,924.22, 2,885.70 and 827.48

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Solution

The fourth proportional to 1,924.22, 2,885.70 and 827.48 is: 1,240.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,924.22 : 2,885.70 = 827.48 : x
  2. Step 2: Convert to fraction form
    1,924.22/2,885.70 = 827.48/x
  3. Step 3: Cross multiply
    1,924.22x = 2,885.70 × 827.48
  4. Step 4: Simplify right side
    1,924.22x = 2,387,859.04
  5. Step 5: Solve for x
    x = 2,387,859.04/1,924.22
  6. Step 6: Final answer
    x = 1,240.95

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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.