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Finding the Fourth Proportional to 2,123.33, 3,184.16 and 736.43

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Solution

The fourth proportional to 2,123.33, 3,184.16 and 736.43 is: 1,104.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.33 : 3,184.16 = 736.43 : x
  2. Step 2: Convert to fraction form
    2,123.33/3,184.16 = 736.43/x
  3. Step 3: Cross multiply
    2,123.33x = 3,184.16 × 736.43
  4. Step 4: Simplify right side
    2,123.33x = 2,344,891.35
  5. Step 5: Solve for x
    x = 2,344,891.35/2,123.33
  6. Step 6: Final answer
    x = 1,104.35

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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.