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Finding the Fourth Proportional to 2,012.37, 3,018.41 and 695.82

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Solution

The fourth proportional to 2,012.37, 3,018.41 and 695.82 is: 1,043.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,012.37 : 3,018.41 = 695.82 : x
  2. Step 2: Convert to fraction form
    2,012.37/3,018.41 = 695.82/x
  3. Step 3: Cross multiply
    2,012.37x = 3,018.41 × 695.82
  4. Step 4: Simplify right side
    2,012.37x = 2,100,258.94
  5. Step 5: Solve for x
    x = 2,100,258.94/2,012.37
  6. Step 6: Final answer
    x = 1,043.67

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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.