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Finding the Fourth Proportional to 2,776.83, 3,832.37 and 1,781.75

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Solution

The fourth proportional to 2,776.83, 3,832.37 and 1,781.75 is: 2,459.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,776.83 : 3,832.37 = 1,781.75 : x
  2. Step 2: Convert to fraction form
    2,776.83/3,832.37 = 1,781.75/x
  3. Step 3: Cross multiply
    2,776.83x = 3,832.37 × 1,781.75
  4. Step 4: Simplify right side
    2,776.83x = 6,828,297.18
  5. Step 5: Solve for x
    x = 6,828,297.18/2,776.83
  6. Step 6: Final answer
    x = 2,459.03

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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.