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Finding the Fourth Proportional to 2,290.02, 3,435.11 and 1,940.10

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Solution

The fourth proportional to 2,290.02, 3,435.11 and 1,940.10 is: 2,910.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,290.02 : 3,435.11 = 1,940.10 : x
  2. Step 2: Convert to fraction form
    2,290.02/3,435.11 = 1,940.10/x
  3. Step 3: Cross multiply
    2,290.02x = 3,435.11 × 1,940.10
  4. Step 4: Simplify right side
    2,290.02x = 6,664,456.91
  5. Step 5: Solve for x
    x = 6,664,456.91/2,290.02
  6. Step 6: Final answer
    x = 2,910.22

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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.