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Finding the Fourth Proportional to 2,537.97, 3,806.91 and 689.12

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Solution

The fourth proportional to 2,537.97, 3,806.91 and 689.12 is: 1,033.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,537.97 : 3,806.91 = 689.12 : x
  2. Step 2: Convert to fraction form
    2,537.97/3,806.91 = 689.12/x
  3. Step 3: Cross multiply
    2,537.97x = 3,806.91 × 689.12
  4. Step 4: Simplify right side
    2,537.97x = 2,623,413.06
  5. Step 5: Solve for x
    x = 2,623,413.06/2,537.97
  6. Step 6: Final answer
    x = 1,033.67

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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.