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Finding the Fourth Proportional to 2,059.88, 2,842.83 and 1,175.69

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Solution

The fourth proportional to 2,059.88, 2,842.83 and 1,175.69 is: 1,622.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,059.88 : 2,842.83 = 1,175.69 : x
  2. Step 2: Convert to fraction form
    2,059.88/2,842.83 = 1,175.69/x
  3. Step 3: Cross multiply
    2,059.88x = 2,842.83 × 1,175.69
  4. Step 4: Simplify right side
    2,059.88x = 3,342,293.91
  5. Step 5: Solve for x
    x = 3,342,293.91/2,059.88
  6. Step 6: Final answer
    x = 1,622.57

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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.