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Finding the Fourth Proportional to 2,059.21, 2,842.02 and 1,313.50

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Solution

The fourth proportional to 2,059.21, 2,842.02 and 1,313.50 is: 1,812.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,059.21 : 2,842.02 = 1,313.50 : x
  2. Step 2: Convert to fraction form
    2,059.21/2,842.02 = 1,313.50/x
  3. Step 3: Cross multiply
    2,059.21x = 2,842.02 × 1,313.50
  4. Step 4: Simplify right side
    2,059.21x = 3,732,993.27
  5. Step 5: Solve for x
    x = 3,732,993.27/2,059.21
  6. Step 6: Final answer
    x = 1,812.83

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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.