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Finding the Fourth Proportional to 2,123.60, 3,186.04 and 736.88

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Solution

The fourth proportional to 2,123.60, 3,186.04 and 736.88 is: 1,105.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.60 : 3,186.04 = 736.88 : x
  2. Step 2: Convert to fraction form
    2,123.60/3,186.04 = 736.88/x
  3. Step 3: Cross multiply
    2,123.60x = 3,186.04 × 736.88
  4. Step 4: Simplify right side
    2,123.60x = 2,347,729.16
  5. Step 5: Solve for x
    x = 2,347,729.16/2,123.60
  6. Step 6: Final answer
    x = 1,105.54

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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.