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Finding the Fourth Proportional to 1,825.56, 2,738.34 and 670.68

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Solution

The fourth proportional to 1,825.56, 2,738.34 and 670.68 is: 1,006.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,825.56 : 2,738.34 = 670.68 : x
  2. Step 2: Convert to fraction form
    1,825.56/2,738.34 = 670.68/x
  3. Step 3: Cross multiply
    1,825.56x = 2,738.34 × 670.68
  4. Step 4: Simplify right side
    1,825.56x = 1,836,549.87
  5. Step 5: Solve for x
    x = 1,836,549.87/1,825.56
  6. Step 6: Final answer
    x = 1,006.02

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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.