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Finding the Fourth Proportional to 2,809.36, 4,214.94 and 1,348.62

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Solution

The fourth proportional to 2,809.36, 4,214.94 and 1,348.62 is: 2,023.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,809.36 : 4,214.94 = 1,348.62 : x
  2. Step 2: Convert to fraction form
    2,809.36/4,214.94 = 1,348.62/x
  3. Step 3: Cross multiply
    2,809.36x = 4,214.94 × 1,348.62
  4. Step 4: Simplify right side
    2,809.36x = 5,684,352.38
  5. Step 5: Solve for x
    x = 5,684,352.38/2,809.36
  6. Step 6: Final answer
    x = 2,023.36

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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.