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Finding the Fourth Proportional to 2,059.67, 2,842.26 and 1,175.30

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Solution

The fourth proportional to 2,059.67, 2,842.26 and 1,175.30 is: 1,621.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,059.67 : 2,842.26 = 1,175.30 : x
  2. Step 2: Convert to fraction form
    2,059.67/2,842.26 = 1,175.30/x
  3. Step 3: Cross multiply
    2,059.67x = 2,842.26 × 1,175.30
  4. Step 4: Simplify right side
    2,059.67x = 3,340,508.18
  5. Step 5: Solve for x
    x = 3,340,508.18/2,059.67
  6. Step 6: Final answer
    x = 1,621.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.