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Finding the Fourth Proportional to 2,816.18, 4,223.90 and 736.32

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Solution

The fourth proportional to 2,816.18, 4,223.90 and 736.32 is: 1,104.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,816.18 : 4,223.90 = 736.32 : x
  2. Step 2: Convert to fraction form
    2,816.18/4,223.90 = 736.32/x
  3. Step 3: Cross multiply
    2,816.18x = 4,223.90 × 736.32
  4. Step 4: Simplify right side
    2,816.18x = 3,110,138.37
  5. Step 5: Solve for x
    x = 3,110,138.37/2,816.18
  6. Step 6: Final answer
    x = 1,104.38

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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.