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Finding the Fourth Proportional to 3,165.54, 4,368.33 and 1,749.20

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Solution

The fourth proportional to 3,165.54, 4,368.33 and 1,749.20 is: 2,413.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,165.54 : 4,368.33 = 1,749.20 : x
  2. Step 2: Convert to fraction form
    3,165.54/4,368.33 = 1,749.20/x
  3. Step 3: Cross multiply
    3,165.54x = 4,368.33 × 1,749.20
  4. Step 4: Simplify right side
    3,165.54x = 7,641,082.84
  5. Step 5: Solve for x
    x = 7,641,082.84/3,165.54
  6. Step 6: Final answer
    x = 2,413.83

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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.