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Finding the Fourth Proportional to 3,178.57, 4,770.96 and 1,720.84

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Solution

The fourth proportional to 3,178.57, 4,770.96 and 1,720.84 is: 2,582.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,178.57 : 4,770.96 = 1,720.84 : x
  2. Step 2: Convert to fraction form
    3,178.57/4,770.96 = 1,720.84/x
  3. Step 3: Cross multiply
    3,178.57x = 4,770.96 × 1,720.84
  4. Step 4: Simplify right side
    3,178.57x = 8,210,058.81
  5. Step 5: Solve for x
    x = 8,210,058.81/3,178.57
  6. Step 6: Final answer
    x = 2,582.94

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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.