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Finding the Fourth Proportional to 3,409.54, 4,699.50 and 2,413.54

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Solution

The fourth proportional to 3,409.54, 4,699.50 and 2,413.54 is: 3,326.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.54 : 4,699.50 = 2,413.54 : x
  2. Step 2: Convert to fraction form
    3,409.54/4,699.50 = 2,413.54/x
  3. Step 3: Cross multiply
    3,409.54x = 4,699.50 × 2,413.54
  4. Step 4: Simplify right side
    3,409.54x = 11,342,431.23
  5. Step 5: Solve for x
    x = 11,342,431.23/3,409.54
  6. Step 6: Final answer
    x = 3,326.67

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1.5x scale

Why These Related Problems?

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