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Finding the Fourth Proportional to 2,433.50, 3,358.32 and 2,194.82

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Solution

The fourth proportional to 2,433.50, 3,358.32 and 2,194.82 is: 3,028.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,433.50 : 3,358.32 = 2,194.82 : x
  2. Step 2: Convert to fraction form
    2,433.50/3,358.32 = 2,194.82/x
  3. Step 3: Cross multiply
    2,433.50x = 3,358.32 × 2,194.82
  4. Step 4: Simplify right side
    2,433.50x = 7,370,907.90
  5. Step 5: Solve for x
    x = 7,370,907.90/2,433.50
  6. Step 6: Final answer
    x = 3,028.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.