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Finding the Fourth Proportional to 2,059.98, 2,842.78 and 1,115.78

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Solution

The fourth proportional to 2,059.98, 2,842.78 and 1,115.78 is: 1,539.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,059.98 : 2,842.78 = 1,115.78 : x
  2. Step 2: Convert to fraction form
    2,059.98/2,842.78 = 1,115.78/x
  3. Step 3: Cross multiply
    2,059.98x = 2,842.78 × 1,115.78
  4. Step 4: Simplify right side
    2,059.98x = 3,171,911.49
  5. Step 5: Solve for x
    x = 3,171,911.49/2,059.98
  6. Step 6: Final answer
    x = 1,539.78

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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.