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Finding the Fourth Proportional to 2,477.70, 3,413.25 and 2,004.66

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Solution

The fourth proportional to 2,477.70, 3,413.25 and 2,004.66 is: 2,761.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,477.70 : 3,413.25 = 2,004.66 : x
  2. Step 2: Convert to fraction form
    2,477.70/3,413.25 = 2,004.66/x
  3. Step 3: Cross multiply
    2,477.70x = 3,413.25 × 2,004.66
  4. Step 4: Simplify right side
    2,477.70x = 6,842,405.75
  5. Step 5: Solve for x
    x = 6,842,405.75/2,477.70
  6. Step 6: Final answer
    x = 2,761.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.