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Finding the Fourth Proportional to 2,775.81, 3,830.67 and 1,580.97

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Solution

The fourth proportional to 2,775.81, 3,830.67 and 1,580.97 is: 2,181.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,775.81 : 3,830.67 = 1,580.97 : x
  2. Step 2: Convert to fraction form
    2,775.81/3,830.67 = 1,580.97/x
  3. Step 3: Cross multiply
    2,775.81x = 3,830.67 × 1,580.97
  4. Step 4: Simplify right side
    2,775.81x = 6,056,174.35
  5. Step 5: Solve for x
    x = 6,056,174.35/2,775.81
  6. Step 6: Final answer
    x = 2,181.77

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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.