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Finding the Fourth Proportional to 2,773.47, 4,148.06 and 2,413.83

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Solution

The fourth proportional to 2,773.47, 4,148.06 and 2,413.83 is: 3,610.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,773.47 : 4,148.06 = 2,413.83 : x
  2. Step 2: Convert to fraction form
    2,773.47/4,148.06 = 2,413.83/x
  3. Step 3: Cross multiply
    2,773.47x = 4,148.06 × 2,413.83
  4. Step 4: Simplify right side
    2,773.47x = 10,012,699.60
  5. Step 5: Solve for x
    x = 10,012,699.60/2,773.47
  6. Step 6: Final answer
    x = 3,610.17

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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.