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Finding the Fourth Proportional to 1,623.74, 2,436.22 and 974.94

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Solution

The fourth proportional to 1,623.74, 2,436.22 and 974.94 is: 1,462.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,623.74 : 2,436.22 = 974.94 : x
  2. Step 2: Convert to fraction form
    1,623.74/2,436.22 = 974.94/x
  3. Step 3: Cross multiply
    1,623.74x = 2,436.22 × 974.94
  4. Step 4: Simplify right side
    1,623.74x = 2,375,168.33
  5. Step 5: Solve for x
    x = 2,375,168.33/1,623.74
  6. Step 6: Final answer
    x = 1,462.78

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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.