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Finding the Fourth Proportional to 2,809.98, 4,214.93 and 2,194.19

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Solution

The fourth proportional to 2,809.98, 4,214.93 and 2,194.19 is: 3,291.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,809.98 : 4,214.93 = 2,194.19 : x
  2. Step 2: Convert to fraction form
    2,809.98/4,214.93 = 2,194.19/x
  3. Step 3: Cross multiply
    2,809.98x = 4,214.93 × 2,194.19
  4. Step 4: Simplify right side
    2,809.98x = 9,248,325.21
  5. Step 5: Solve for x
    x = 9,248,325.21/2,809.98
  6. Step 6: Final answer
    x = 3,291.24

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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.