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Finding the Fourth Proportional to 2,123.42, 3,185.24 and 662.49

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Solution

The fourth proportional to 2,123.42, 3,185.24 and 662.49 is: 993.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.42 : 3,185.24 = 662.49 : x
  2. Step 2: Convert to fraction form
    2,123.42/3,185.24 = 662.49/x
  3. Step 3: Cross multiply
    2,123.42x = 3,185.24 × 662.49
  4. Step 4: Simplify right side
    2,123.42x = 2,110,186.34
  5. Step 5: Solve for x
    x = 2,110,186.34/2,123.42
  6. Step 6: Final answer
    x = 993.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.