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Finding the Fourth Proportional to 2,816.15, 4,223.72 and 841.73

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Solution

The fourth proportional to 2,816.15, 4,223.72 and 841.73 is: 1,262.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,816.15 : 4,223.72 = 841.73 : x
  2. Step 2: Convert to fraction form
    2,816.15/4,223.72 = 841.73/x
  3. Step 3: Cross multiply
    2,816.15x = 4,223.72 × 841.73
  4. Step 4: Simplify right side
    2,816.15x = 3,555,210.72
  5. Step 5: Solve for x
    x = 3,555,210.72/2,816.15
  6. Step 6: Final answer
    x = 1,262.44

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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.