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Finding the Fourth Proportional to 2,123.23, 3,186.08 and 890.55

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Solution

The fourth proportional to 2,123.23, 3,186.08 and 890.55 is: 1,336.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.23 : 3,186.08 = 890.55 : x
  2. Step 2: Convert to fraction form
    2,123.23/3,186.08 = 890.55/x
  3. Step 3: Cross multiply
    2,123.23x = 3,186.08 × 890.55
  4. Step 4: Simplify right side
    2,123.23x = 2,837,363.54
  5. Step 5: Solve for x
    x = 2,837,363.54/2,123.23
  6. Step 6: Final answer
    x = 1,336.34

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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.