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Finding the Fourth Proportional to 1,609.38, 2,413.46 and 684.36

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Solution

The fourth proportional to 1,609.38, 2,413.46 and 684.36 is: 1,026.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.38 : 2,413.46 = 684.36 : x
  2. Step 2: Convert to fraction form
    1,609.38/2,413.46 = 684.36/x
  3. Step 3: Cross multiply
    1,609.38x = 2,413.46 × 684.36
  4. Step 4: Simplify right side
    1,609.38x = 1,651,677.20
  5. Step 5: Solve for x
    x = 1,651,677.20/1,609.38
  6. Step 6: Final answer
    x = 1,026.28

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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.