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Finding the Fourth Proportional to 2,736.56, 4,104.84 and 1,276.40

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Solution

The fourth proportional to 2,736.56, 4,104.84 and 1,276.40 is: 1,914.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,736.56 : 4,104.84 = 1,276.40 : x
  2. Step 2: Convert to fraction form
    2,736.56/4,104.84 = 1,276.40/x
  3. Step 3: Cross multiply
    2,736.56x = 4,104.84 × 1,276.40
  4. Step 4: Simplify right side
    2,736.56x = 5,239,417.78
  5. Step 5: Solve for x
    x = 5,239,417.78/2,736.56
  6. Step 6: Final answer
    x = 1,914.60

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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.