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Finding the Fourth Proportional to 2,059.45, 2,842.15 and 1,175.43

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Solution

The fourth proportional to 2,059.45, 2,842.15 and 1,175.43 is: 1,622.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,059.45 : 2,842.15 = 1,175.43 : x
  2. Step 2: Convert to fraction form
    2,059.45/2,842.15 = 1,175.43/x
  3. Step 3: Cross multiply
    2,059.45x = 2,842.15 × 1,175.43
  4. Step 4: Simplify right side
    2,059.45x = 3,340,748.37
  5. Step 5: Solve for x
    x = 3,340,748.37/2,059.45
  6. Step 6: Final answer
    x = 1,622.16

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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.