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Finding the Fourth Proportional to 2,123.96, 3,186.24 and 663.26

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Solution

The fourth proportional to 2,123.96, 3,186.24 and 663.26 is: 994.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.96 : 3,186.24 = 663.26 : x
  2. Step 2: Convert to fraction form
    2,123.96/3,186.24 = 663.26/x
  3. Step 3: Cross multiply
    2,123.96x = 3,186.24 × 663.26
  4. Step 4: Simplify right side
    2,123.96x = 2,113,305.54
  5. Step 5: Solve for x
    x = 2,113,305.54/2,123.96
  6. Step 6: Final answer
    x = 994.98

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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.