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Finding the Fourth Proportional to 2,059.80, 2,842.97 and 1,313.59

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Solution

The fourth proportional to 2,059.80, 2,842.97 and 1,313.59 is: 1,813.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,059.80 : 2,842.97 = 1,313.59 : x
  2. Step 2: Convert to fraction form
    2,059.80/2,842.97 = 1,313.59/x
  3. Step 3: Cross multiply
    2,059.80x = 2,842.97 × 1,313.59
  4. Step 4: Simplify right side
    2,059.80x = 3,734,507.70
  5. Step 5: Solve for x
    x = 3,734,507.70/2,059.80
  6. Step 6: Final answer
    x = 1,813.04

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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.