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Finding the Fourth Proportional to 2,059.91, 2,842.68 and 1,115.71

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Solution

The fourth proportional to 2,059.91, 2,842.68 and 1,115.71 is: 1,539.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,059.91 : 2,842.68 = 1,115.71 : x
  2. Step 2: Convert to fraction form
    2,059.91/2,842.68 = 1,115.71/x
  3. Step 3: Cross multiply
    2,059.91x = 2,842.68 × 1,115.71
  4. Step 4: Simplify right side
    2,059.91x = 3,171,606.50
  5. Step 5: Solve for x
    x = 3,171,606.50/2,059.91
  6. Step 6: Final answer
    x = 1,539.68

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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.