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Finding the Fourth Proportional to 2,682.32, 4,024.16 and 927.44

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Solution

The fourth proportional to 2,682.32, 4,024.16 and 927.44 is: 1,391.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,682.32 : 4,024.16 = 927.44 : x
  2. Step 2: Convert to fraction form
    2,682.32/4,024.16 = 927.44/x
  3. Step 3: Cross multiply
    2,682.32x = 4,024.16 × 927.44
  4. Step 4: Simplify right side
    2,682.32x = 3,732,166.95
  5. Step 5: Solve for x
    x = 3,732,166.95/2,682.32
  6. Step 6: Final answer
    x = 1,391.40

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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.