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Finding the Fourth Proportional to 2,735.82, 3,776.55 and 1,899.27

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Solution

The fourth proportional to 2,735.82, 3,776.55 and 1,899.27 is: 2,621.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,735.82 : 3,776.55 = 1,899.27 : x
  2. Step 2: Convert to fraction form
    2,735.82/3,776.55 = 1,899.27/x
  3. Step 3: Cross multiply
    2,735.82x = 3,776.55 × 1,899.27
  4. Step 4: Simplify right side
    2,735.82x = 7,172,688.12
  5. Step 5: Solve for x
    x = 7,172,688.12/2,735.82
  6. Step 6: Final answer
    x = 2,621.77

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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.