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Finding the Fourth Proportional to 1,826.09, 2,739.40 and 838.70

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Solution

The fourth proportional to 1,826.09, 2,739.40 and 838.70 is: 1,258.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,826.09 : 2,739.40 = 838.70 : x
  2. Step 2: Convert to fraction form
    1,826.09/2,739.40 = 838.70/x
  3. Step 3: Cross multiply
    1,826.09x = 2,739.40 × 838.70
  4. Step 4: Simplify right side
    1,826.09x = 2,297,518.99
  5. Step 5: Solve for x
    x = 2,297,518.99/1,826.09
  6. Step 6: Final answer
    x = 1,258.17

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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.