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Finding the Fourth Proportional to 2,189.01, 3,284.99 and 890.71

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Solution

The fourth proportional to 2,189.01, 3,284.99 and 890.71 is: 1,336.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,189.01 : 3,284.99 = 890.71 : x
  2. Step 2: Convert to fraction form
    2,189.01/3,284.99 = 890.71/x
  3. Step 3: Cross multiply
    2,189.01x = 3,284.99 × 890.71
  4. Step 4: Simplify right side
    2,189.01x = 2,925,975.67
  5. Step 5: Solve for x
    x = 2,925,975.67/2,189.01
  6. Step 6: Final answer
    x = 1,336.67

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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.