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Finding the Fourth Proportional to 2,063.26, 3,094.90 and 695.26

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Solution

The fourth proportional to 2,063.26, 3,094.90 and 695.26 is: 1,042.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,063.26 : 3,094.90 = 695.26 : x
  2. Step 2: Convert to fraction form
    2,063.26/3,094.90 = 695.26/x
  3. Step 3: Cross multiply
    2,063.26x = 3,094.90 × 695.26
  4. Step 4: Simplify right side
    2,063.26x = 2,151,760.17
  5. Step 5: Solve for x
    x = 2,151,760.17/2,063.26
  6. Step 6: Final answer
    x = 1,042.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.