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Finding the Fourth Proportional to 2,290.23, 3,435.21 and 2,228.67

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Solution

The fourth proportional to 2,290.23, 3,435.21 and 2,228.67 is: 3,342.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,290.23 : 3,435.21 = 2,228.67 : x
  2. Step 2: Convert to fraction form
    2,290.23/3,435.21 = 2,228.67/x
  3. Step 3: Cross multiply
    2,290.23x = 3,435.21 × 2,228.67
  4. Step 4: Simplify right side
    2,290.23x = 7,655,949.47
  5. Step 5: Solve for x
    x = 7,655,949.47/2,290.23
  6. Step 6: Final answer
    x = 3,342.87

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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.