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Finding the Fourth Proportional to 2,404.06, 3,604.32 and 942.46

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Solution

The fourth proportional to 2,404.06, 3,604.32 and 942.46 is: 1,413.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,404.06 : 3,604.32 = 942.46 : x
  2. Step 2: Convert to fraction form
    2,404.06/3,604.32 = 942.46/x
  3. Step 3: Cross multiply
    2,404.06x = 3,604.32 × 942.46
  4. Step 4: Simplify right side
    2,404.06x = 3,396,927.43
  5. Step 5: Solve for x
    x = 3,396,927.43/2,404.06
  6. Step 6: Final answer
    x = 1,413.00

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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.