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Finding the Fourth Proportional to 2,097.93, 2,894.30 and 1,352.33

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Solution

The fourth proportional to 2,097.93, 2,894.30 and 1,352.33 is: 1,865.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.93 : 2,894.30 = 1,352.33 : x
  2. Step 2: Convert to fraction form
    2,097.93/2,894.30 = 1,352.33/x
  3. Step 3: Cross multiply
    2,097.93x = 2,894.30 × 1,352.33
  4. Step 4: Simplify right side
    2,097.93x = 3,914,043.41
  5. Step 5: Solve for x
    x = 3,914,043.41/2,097.93
  6. Step 6: Final answer
    x = 1,865.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.