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Finding the Fourth Proportional to 1,825.87, 2,738.60 and 527.34

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Solution

The fourth proportional to 1,825.87, 2,738.60 and 527.34 is: 790.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,825.87 : 2,738.60 = 527.34 : x
  2. Step 2: Convert to fraction form
    1,825.87/2,738.60 = 527.34/x
  3. Step 3: Cross multiply
    1,825.87x = 2,738.60 × 527.34
  4. Step 4: Simplify right side
    1,825.87x = 1,444,173.32
  5. Step 5: Solve for x
    x = 1,444,173.32/1,825.87
  6. Step 6: Final answer
    x = 790.95

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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.