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Finding the Fourth Proportional to 1,609.16, 2,413.88 and 635.04

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Solution

The fourth proportional to 1,609.16, 2,413.88 and 635.04 is: 952.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.16 : 2,413.88 = 635.04 : x
  2. Step 2: Convert to fraction form
    1,609.16/2,413.88 = 635.04/x
  3. Step 3: Cross multiply
    1,609.16x = 2,413.88 × 635.04
  4. Step 4: Simplify right side
    1,609.16x = 1,532,907.18
  5. Step 5: Solve for x
    x = 1,532,907.18/1,609.16
  6. Step 6: Final answer
    x = 952.62

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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.