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Finding the Fourth Proportional to 2,300.54, 3,447.72 and 838.31

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Solution

The fourth proportional to 2,300.54, 3,447.72 and 838.31 is: 1,256.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,300.54 : 3,447.72 = 838.31 : x
  2. Step 2: Convert to fraction form
    2,300.54/3,447.72 = 838.31/x
  3. Step 3: Cross multiply
    2,300.54x = 3,447.72 × 838.31
  4. Step 4: Simplify right side
    2,300.54x = 2,890,240.91
  5. Step 5: Solve for x
    x = 2,890,240.91/2,300.54
  6. Step 6: Final answer
    x = 1,256.33

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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.