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Finding the Fourth Proportional to 2,808.94, 4,213.86 and 1,348.06

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Solution

The fourth proportional to 2,808.94, 4,213.86 and 1,348.06 is: 2,022.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,808.94 : 4,213.86 = 1,348.06 : x
  2. Step 2: Convert to fraction form
    2,808.94/4,213.86 = 1,348.06/x
  3. Step 3: Cross multiply
    2,808.94x = 4,213.86 × 1,348.06
  4. Step 4: Simplify right side
    2,808.94x = 5,680,536.11
  5. Step 5: Solve for x
    x = 5,680,536.11/2,808.94
  6. Step 6: Final answer
    x = 2,022.31

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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.