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Finding the Fourth Proportional to 2,123.35, 3,184.37 and 736.36

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Solution

The fourth proportional to 2,123.35, 3,184.37 and 736.36 is: 1,104.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.35 : 3,184.37 = 736.36 : x
  2. Step 2: Convert to fraction form
    2,123.35/3,184.37 = 736.36/x
  3. Step 3: Cross multiply
    2,123.35x = 3,184.37 × 736.36
  4. Step 4: Simplify right side
    2,123.35x = 2,344,831.05
  5. Step 5: Solve for x
    x = 2,344,831.05/2,123.35
  6. Step 6: Final answer
    x = 1,104.31

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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.