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Finding the Fourth Proportional to 1,605.06, 2,400.64 and 945.37

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Solution

The fourth proportional to 1,605.06, 2,400.64 and 945.37 is: 1,413.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.06 : 2,400.64 = 945.37 : x
  2. Step 2: Convert to fraction form
    1,605.06/2,400.64 = 945.37/x
  3. Step 3: Cross multiply
    1,605.06x = 2,400.64 × 945.37
  4. Step 4: Simplify right side
    1,605.06x = 2,269,493.04
  5. Step 5: Solve for x
    x = 2,269,493.04/1,605.06
  6. Step 6: Final answer
    x = 1,413.96

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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.