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Finding the Fourth Proportional to 2,413.18, 3,620.31 and 953.83

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Solution

The fourth proportional to 2,413.18, 3,620.31 and 953.83 is: 1,430.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,413.18 : 3,620.31 = 953.83 : x
  2. Step 2: Convert to fraction form
    2,413.18/3,620.31 = 953.83/x
  3. Step 3: Cross multiply
    2,413.18x = 3,620.31 × 953.83
  4. Step 4: Simplify right side
    2,413.18x = 3,453,160.29
  5. Step 5: Solve for x
    x = 3,453,160.29/2,413.18
  6. Step 6: Final answer
    x = 1,430.96

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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.