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Finding the Fourth Proportional to 1,813.19, 2,718.97 and 839.57

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Solution

The fourth proportional to 1,813.19, 2,718.97 and 839.57 is: 1,258.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,813.19 : 2,718.97 = 839.57 : x
  2. Step 2: Convert to fraction form
    1,813.19/2,718.97 = 839.57/x
  3. Step 3: Cross multiply
    1,813.19x = 2,718.97 × 839.57
  4. Step 4: Simplify right side
    1,813.19x = 2,282,749.95
  5. Step 5: Solve for x
    x = 2,282,749.95/1,813.19
  6. Step 6: Final answer
    x = 1,258.97

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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.