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Finding the Fourth Proportional to 2,838.01, 4,258.67 and 1,194.46

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Solution

The fourth proportional to 2,838.01, 4,258.67 and 1,194.46 is: 1,792.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,838.01 : 4,258.67 = 1,194.46 : x
  2. Step 2: Convert to fraction form
    2,838.01/4,258.67 = 1,194.46/x
  3. Step 3: Cross multiply
    2,838.01x = 4,258.67 × 1,194.46
  4. Step 4: Simplify right side
    2,838.01x = 5,086,810.97
  5. Step 5: Solve for x
    x = 5,086,810.97/2,838.01
  6. Step 6: Final answer
    x = 1,792.39

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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.