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Finding the Fourth Proportional to 2,736.76, 3,777.04 and 1,558

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Solution

The fourth proportional to 2,736.76, 3,777.04 and 1,558 is: 2,150.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,736.76 : 3,777.04 = 1,558 : x
  2. Step 2: Convert to fraction form
    2,736.76/3,777.04 = 1,558/x
  3. Step 3: Cross multiply
    2,736.76x = 3,777.04 × 1,558
  4. Step 4: Simplify right side
    2,736.76x = 5,884,628.32
  5. Step 5: Solve for x
    x = 5,884,628.32/2,736.76
  6. Step 6: Final answer
    x = 2,150.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.