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Finding the Fourth Proportional to 2,813.04, 4,219.04 and 838.62

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Solution

The fourth proportional to 2,813.04, 4,219.04 and 838.62 is: 1,257.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,813.04 : 4,219.04 = 838.62 : x
  2. Step 2: Convert to fraction form
    2,813.04/4,219.04 = 838.62/x
  3. Step 3: Cross multiply
    2,813.04x = 4,219.04 × 838.62
  4. Step 4: Simplify right side
    2,813.04x = 3,538,171.32
  5. Step 5: Solve for x
    x = 3,538,171.32/2,813.04
  6. Step 6: Final answer
    x = 1,257.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.