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Finding the Fourth Proportional to 1,609.70, 2,413.17 and 636.48

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Solution

The fourth proportional to 1,609.70, 2,413.17 and 636.48 is: 954.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.70 : 2,413.17 = 636.48 : x
  2. Step 2: Convert to fraction form
    1,609.70/2,413.17 = 636.48/x
  3. Step 3: Cross multiply
    1,609.70x = 2,413.17 × 636.48
  4. Step 4: Simplify right side
    1,609.70x = 1,535,934.44
  5. Step 5: Solve for x
    x = 1,535,934.44/1,609.70
  6. Step 6: Final answer
    x = 954.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.