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Finding the Fourth Proportional to 4,786.40, 7,178.42 and 1,665.95

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Solution

The fourth proportional to 4,786.40, 7,178.42 and 1,665.95 is: 2,498.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,786.40 : 7,178.42 = 1,665.95 : x
  2. Step 2: Convert to fraction form
    4,786.40/7,178.42 = 1,665.95/x
  3. Step 3: Cross multiply
    4,786.40x = 7,178.42 × 1,665.95
  4. Step 4: Simplify right side
    4,786.40x = 11,958,844.58
  5. Step 5: Solve for x
    x = 11,958,844.58/4,786.40
  6. Step 6: Final answer
    x = 2,498.51

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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.