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Finding the Fourth Proportional to 4,383.84, 6,574.16 and 1,609.60

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Solution

The fourth proportional to 4,383.84, 6,574.16 and 1,609.60 is: 2,413.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,383.84 : 6,574.16 = 1,609.60 : x
  2. Step 2: Convert to fraction form
    4,383.84/6,574.16 = 1,609.60/x
  3. Step 3: Cross multiply
    4,383.84x = 6,574.16 × 1,609.60
  4. Step 4: Simplify right side
    4,383.84x = 10,581,767.94
  5. Step 5: Solve for x
    x = 10,581,767.94/4,383.84
  6. Step 6: Final answer
    x = 2,413.81

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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.