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Finding the Fourth Proportional to 3,413.61, 4,710.06 and 1,997.01

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Solution

The fourth proportional to 3,413.61, 4,710.06 and 1,997.01 is: 2,755.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,413.61 : 4,710.06 = 1,997.01 : x
  2. Step 2: Convert to fraction form
    3,413.61/4,710.06 = 1,997.01/x
  3. Step 3: Cross multiply
    3,413.61x = 4,710.06 × 1,997.01
  4. Step 4: Simplify right side
    3,413.61x = 9,406,036.92
  5. Step 5: Solve for x
    x = 9,406,036.92/3,413.61
  6. Step 6: Final answer
    x = 2,755.45

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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.