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Finding the Fourth Proportional to 3,178.36, 4,768.54 and 1,424.84

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Solution

The fourth proportional to 3,178.36, 4,768.54 and 1,424.84 is: 2,137.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,178.36 : 4,768.54 = 1,424.84 : x
  2. Step 2: Convert to fraction form
    3,178.36/4,768.54 = 1,424.84/x
  3. Step 3: Cross multiply
    3,178.36x = 4,768.54 × 1,424.84
  4. Step 4: Simplify right side
    3,178.36x = 6,794,379.13
  5. Step 5: Solve for x
    x = 6,794,379.13/3,178.36
  6. Step 6: Final answer
    x = 2,137.70

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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.