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Finding the Fourth Proportional to 2,736.02, 4,101.70 and 1,254.75

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Solution

The fourth proportional to 2,736.02, 4,101.70 and 1,254.75 is: 1,881.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,736.02 : 4,101.70 = 1,254.75 : x
  2. Step 2: Convert to fraction form
    2,736.02/4,101.70 = 1,254.75/x
  3. Step 3: Cross multiply
    2,736.02x = 4,101.70 × 1,254.75
  4. Step 4: Simplify right side
    2,736.02x = 5,146,608.08
  5. Step 5: Solve for x
    x = 5,146,608.08/2,736.02
  6. Step 6: Final answer
    x = 1,881.06

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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.