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Finding the Fourth Proportional to 2,345.41, 3,236.72 and 1,413.97

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Solution

The fourth proportional to 2,345.41, 3,236.72 and 1,413.97 is: 1,951.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,345.41 : 3,236.72 = 1,413.97 : x
  2. Step 2: Convert to fraction form
    2,345.41/3,236.72 = 1,413.97/x
  3. Step 3: Cross multiply
    2,345.41x = 3,236.72 × 1,413.97
  4. Step 4: Simplify right side
    2,345.41x = 4,576,614.61
  5. Step 5: Solve for x
    x = 4,576,614.61/2,345.41
  6. Step 6: Final answer
    x = 1,951.31

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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.