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Finding the Fourth Proportional to 1,894.89, 2,843.71 and 799.57

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Solution

The fourth proportional to 1,894.89, 2,843.71 and 799.57 is: 1,199.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,894.89 : 2,843.71 = 799.57 : x
  2. Step 2: Convert to fraction form
    1,894.89/2,843.71 = 799.57/x
  3. Step 3: Cross multiply
    1,894.89x = 2,843.71 × 799.57
  4. Step 4: Simplify right side
    1,894.89x = 2,273,746.76
  5. Step 5: Solve for x
    x = 2,273,746.76/1,894.89
  6. Step 6: Final answer
    x = 1,199.93

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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.