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Finding the Fourth Proportional to 2,704.60, 4,055.70 and 1,609.24

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Solution

The fourth proportional to 2,704.60, 4,055.70 and 1,609.24 is: 2,413.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,704.60 : 4,055.70 = 1,609.24 : x
  2. Step 2: Convert to fraction form
    2,704.60/4,055.70 = 1,609.24/x
  3. Step 3: Cross multiply
    2,704.60x = 4,055.70 × 1,609.24
  4. Step 4: Simplify right side
    2,704.60x = 6,526,594.67
  5. Step 5: Solve for x
    x = 6,526,594.67/2,704.60
  6. Step 6: Final answer
    x = 2,413.15

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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.