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Finding the Fourth Proportional to 1,609.30, 2,413.54 and 684.38

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Solution

The fourth proportional to 1,609.30, 2,413.54 and 684.38 is: 1,026.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.30 : 2,413.54 = 684.38 : x
  2. Step 2: Convert to fraction form
    1,609.30/2,413.54 = 684.38/x
  3. Step 3: Cross multiply
    1,609.30x = 2,413.54 × 684.38
  4. Step 4: Simplify right side
    1,609.30x = 1,651,778.51
  5. Step 5: Solve for x
    x = 1,651,778.51/1,609.30
  6. Step 6: Final answer
    x = 1,026.40

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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.