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Finding the Fourth Proportional to 1,825.78, 2,738.73 and 527.26

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Solution

The fourth proportional to 1,825.78, 2,738.73 and 527.26 is: 790.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,825.78 : 2,738.73 = 527.26 : x
  2. Step 2: Convert to fraction form
    1,825.78/2,738.73 = 527.26/x
  3. Step 3: Cross multiply
    1,825.78x = 2,738.73 × 527.26
  4. Step 4: Simplify right side
    1,825.78x = 1,444,022.78
  5. Step 5: Solve for x
    x = 1,444,022.78/1,825.78
  6. Step 6: Final answer
    x = 790.91

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