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Finding the Fourth Proportional to 2,225.75, 3,071.41 and 1,230.97

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Solution

The fourth proportional to 2,225.75, 3,071.41 and 1,230.97 is: 1,698.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,225.75 : 3,071.41 = 1,230.97 : x
  2. Step 2: Convert to fraction form
    2,225.75/3,071.41 = 1,230.97/x
  3. Step 3: Cross multiply
    2,225.75x = 3,071.41 × 1,230.97
  4. Step 4: Simplify right side
    2,225.75x = 3,780,813.57
  5. Step 5: Solve for x
    x = 3,780,813.57/2,225.75
  6. Step 6: Final answer
    x = 1,698.67

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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.