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Finding the Fourth Proportional to 2,401.17, 3,601.62 and 840.57

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Solution

The fourth proportional to 2,401.17, 3,601.62 and 840.57 is: 1,260.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,401.17 : 3,601.62 = 840.57 : x
  2. Step 2: Convert to fraction form
    2,401.17/3,601.62 = 840.57/x
  3. Step 3: Cross multiply
    2,401.17x = 3,601.62 × 840.57
  4. Step 4: Simplify right side
    2,401.17x = 3,027,413.72
  5. Step 5: Solve for x
    x = 3,027,413.72/2,401.17
  6. Step 6: Final answer
    x = 1,260.81

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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.