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Finding the Fourth Proportional to 2,946.52, 4,062.41 and 2,413.44

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Solution

The fourth proportional to 2,946.52, 4,062.41 and 2,413.44 is: 3,327.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,946.52 : 4,062.41 = 2,413.44 : x
  2. Step 2: Convert to fraction form
    2,946.52/4,062.41 = 2,413.44/x
  3. Step 3: Cross multiply
    2,946.52x = 4,062.41 × 2,413.44
  4. Step 4: Simplify right side
    2,946.52x = 9,804,362.48
  5. Step 5: Solve for x
    x = 9,804,362.48/2,946.52
  6. Step 6: Final answer
    x = 3,327.44

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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.