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Finding the Fourth Proportional to 1,738.16, 2,601.03 and 1,622.30

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Solution

The fourth proportional to 1,738.16, 2,601.03 and 1,622.30 is: 2,427.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,738.16 : 2,601.03 = 1,622.30 : x
  2. Step 2: Convert to fraction form
    1,738.16/2,601.03 = 1,622.30/x
  3. Step 3: Cross multiply
    1,738.16x = 2,601.03 × 1,622.30
  4. Step 4: Simplify right side
    1,738.16x = 4,219,650.97
  5. Step 5: Solve for x
    x = 4,219,650.97/1,738.16
  6. Step 6: Final answer
    x = 2,427.65

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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.