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Finding the Fourth Proportional to 3,178.49, 4,770.66 and 1,619.60

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Solution

The fourth proportional to 3,178.49, 4,770.66 and 1,619.60 is: 2,430.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,178.49 : 4,770.66 = 1,619.60 : x
  2. Step 2: Convert to fraction form
    3,178.49/4,770.66 = 1,619.60/x
  3. Step 3: Cross multiply
    3,178.49x = 4,770.66 × 1,619.60
  4. Step 4: Simplify right side
    3,178.49x = 7,726,537.08
  5. Step 5: Solve for x
    x = 7,726,537.08/3,178.49
  6. Step 6: Final answer
    x = 2,430.89

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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.