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Finding the Fourth Proportional to 2,401.92, 3,603.68 and 942.24

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Solution

The fourth proportional to 2,401.92, 3,603.68 and 942.24 is: 1,413.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,401.92 : 3,603.68 = 942.24 : x
  2. Step 2: Convert to fraction form
    2,401.92/3,603.68 = 942.24/x
  3. Step 3: Cross multiply
    2,401.92x = 3,603.68 × 942.24
  4. Step 4: Simplify right side
    2,401.92x = 3,395,531.44
  5. Step 5: Solve for x
    x = 3,395,531.44/2,401.92
  6. Step 6: Final answer
    x = 1,413.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.