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Finding the Fourth Proportional to 2,927.44, 4,392.12 and 1,832.72

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Solution

The fourth proportional to 2,927.44, 4,392.12 and 1,832.72 is: 2,749.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,927.44 : 4,392.12 = 1,832.72 : x
  2. Step 2: Convert to fraction form
    2,927.44/4,392.12 = 1,832.72/x
  3. Step 3: Cross multiply
    2,927.44x = 4,392.12 × 1,832.72
  4. Step 4: Simplify right side
    2,927.44x = 8,049,526.17
  5. Step 5: Solve for x
    x = 8,049,526.17/2,927.44
  6. Step 6: Final answer
    x = 2,749.68

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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.