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Finding the Fourth Proportional to 2,123.65, 3,186.16 and 890.73

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Solution

The fourth proportional to 2,123.65, 3,186.16 and 890.73 is: 1,336.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.65 : 3,186.16 = 890.73 : x
  2. Step 2: Convert to fraction form
    2,123.65/3,186.16 = 890.73/x
  3. Step 3: Cross multiply
    2,123.65x = 3,186.16 × 890.73
  4. Step 4: Simplify right side
    2,123.65x = 2,837,995.88
  5. Step 5: Solve for x
    x = 2,837,995.88/2,123.65
  6. Step 6: Final answer
    x = 1,336.38

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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.