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Finding the Fourth Proportional to 1,748.89, 2,413.40 and 1,002.33

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Solution

The fourth proportional to 1,748.89, 2,413.40 and 1,002.33 is: 1,383.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,748.89 : 2,413.40 = 1,002.33 : x
  2. Step 2: Convert to fraction form
    1,748.89/2,413.40 = 1,002.33/x
  3. Step 3: Cross multiply
    1,748.89x = 2,413.40 × 1,002.33
  4. Step 4: Simplify right side
    1,748.89x = 2,419,020.72
  5. Step 5: Solve for x
    x = 2,419,020.72/1,748.89
  6. Step 6: Final answer
    x = 1,383.17

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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.