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Finding the Fourth Proportional to 2,736.32, 3,776.52 and 1,557.68

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Solution

The fourth proportional to 2,736.32, 3,776.52 and 1,557.68 is: 2,149.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,736.32 : 3,776.52 = 1,557.68 : x
  2. Step 2: Convert to fraction form
    2,736.32/3,776.52 = 1,557.68/x
  3. Step 3: Cross multiply
    2,736.32x = 3,776.52 × 1,557.68
  4. Step 4: Simplify right side
    2,736.32x = 5,882,609.67
  5. Step 5: Solve for x
    x = 5,882,609.67/2,736.32
  6. Step 6: Final answer
    x = 2,149.83

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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.