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Finding the Fourth Proportional to 1,805.49, 2,708.26 and 635.49

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Solution

The fourth proportional to 1,805.49, 2,708.26 and 635.49 is: 953.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,805.49 : 2,708.26 = 635.49 : x
  2. Step 2: Convert to fraction form
    1,805.49/2,708.26 = 635.49/x
  3. Step 3: Cross multiply
    1,805.49x = 2,708.26 × 635.49
  4. Step 4: Simplify right side
    1,805.49x = 1,721,070.56
  5. Step 5: Solve for x
    x = 1,721,070.56/1,805.49
  6. Step 6: Final answer
    x = 953.24

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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.