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Finding the Fourth Proportional to 2,759.82, 3,808.55 and 1,580.89

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Solution

The fourth proportional to 2,759.82, 3,808.55 and 1,580.89 is: 2,181.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,759.82 : 3,808.55 = 1,580.89 : x
  2. Step 2: Convert to fraction form
    2,759.82/3,808.55 = 1,580.89/x
  3. Step 3: Cross multiply
    2,759.82x = 3,808.55 × 1,580.89
  4. Step 4: Simplify right side
    2,759.82x = 6,020,900.23
  5. Step 5: Solve for x
    x = 6,020,900.23/2,759.82
  6. Step 6: Final answer
    x = 2,181.63

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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.