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Finding the Fourth Proportional to 2,059.91, 2,842.83 and 1,175.77

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Solution

The fourth proportional to 2,059.91, 2,842.83 and 1,175.77 is: 1,622.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,059.91 : 2,842.83 = 1,175.77 : x
  2. Step 2: Convert to fraction form
    2,059.91/2,842.83 = 1,175.77/x
  3. Step 3: Cross multiply
    2,059.91x = 2,842.83 × 1,175.77
  4. Step 4: Simplify right side
    2,059.91x = 3,342,494.14
  5. Step 5: Solve for x
    x = 3,342,494.14/2,059.91
  6. Step 6: Final answer
    x = 1,622.64

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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.