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Finding the Fourth Proportional to 2,190.96, 3,284.22 and 1,411.74

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Solution

The fourth proportional to 2,190.96, 3,284.22 and 1,411.74 is: 2,116.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,190.96 : 3,284.22 = 1,411.74 : x
  2. Step 2: Convert to fraction form
    2,190.96/3,284.22 = 1,411.74/x
  3. Step 3: Cross multiply
    2,190.96x = 3,284.22 × 1,411.74
  4. Step 4: Simplify right side
    2,190.96x = 4,636,464.74
  5. Step 5: Solve for x
    x = 4,636,464.74/2,190.96
  6. Step 6: Final answer
    x = 2,116.18

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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.