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Finding the Fourth Proportional to 2,992.63, 4,489.12 and 940.63

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Solution

The fourth proportional to 2,992.63, 4,489.12 and 940.63 is: 1,411.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,992.63 : 4,489.12 = 940.63 : x
  2. Step 2: Convert to fraction form
    2,992.63/4,489.12 = 940.63/x
  3. Step 3: Cross multiply
    2,992.63x = 4,489.12 × 940.63
  4. Step 4: Simplify right side
    2,992.63x = 4,222,600.95
  5. Step 5: Solve for x
    x = 4,222,600.95/2,992.63
  6. Step 6: Final answer
    x = 1,411.00

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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.