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Finding the Fourth Proportional to 1,623.38, 2,431.17 and 927.94

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Solution

The fourth proportional to 1,623.38, 2,431.17 and 927.94 is: 1,389.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,623.38 : 2,431.17 = 927.94 : x
  2. Step 2: Convert to fraction form
    1,623.38/2,431.17 = 927.94/x
  3. Step 3: Cross multiply
    1,623.38x = 2,431.17 × 927.94
  4. Step 4: Simplify right side
    1,623.38x = 2,255,975.76
  5. Step 5: Solve for x
    x = 2,255,975.76/1,623.38
  6. Step 6: Final answer
    x = 1,389.68

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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.