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Finding the Fourth Proportional to 2,736.63, 4,107.38 and 1,276.61

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Solution

The fourth proportional to 2,736.63, 4,107.38 and 1,276.61 is: 1,916.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,736.63 : 4,107.38 = 1,276.61 : x
  2. Step 2: Convert to fraction form
    2,736.63/4,107.38 = 1,276.61/x
  3. Step 3: Cross multiply
    2,736.63x = 4,107.38 × 1,276.61
  4. Step 4: Simplify right side
    2,736.63x = 5,243,495.46
  5. Step 5: Solve for x
    x = 5,243,495.46/2,736.63
  6. Step 6: Final answer
    x = 1,916.04

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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.