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Finding the Fourth Proportional to 2,123.22, 3,185.16 and 890.67

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Solution

The fourth proportional to 2,123.22, 3,185.16 and 890.67 is: 1,336.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.22 : 3,185.16 = 890.67 : x
  2. Step 2: Convert to fraction form
    2,123.22/3,185.16 = 890.67/x
  3. Step 3: Cross multiply
    2,123.22x = 3,185.16 × 890.67
  4. Step 4: Simplify right side
    2,123.22x = 2,836,926.46
  5. Step 5: Solve for x
    x = 2,836,926.46/2,123.22
  6. Step 6: Final answer
    x = 1,336.14

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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.