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Finding the Fourth Proportional to 4,146, 6,216.48 and 1,678.80

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Solution

The fourth proportional to 4,146, 6,216.48 and 1,678.80 is: 2,517.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,146 : 6,216.48 = 1,678.80 : x
  2. Step 2: Convert to fraction form
    4,146/6,216.48 = 1,678.80/x
  3. Step 3: Cross multiply
    4,146x = 6,216.48 × 1,678.80
  4. Step 4: Simplify right side
    4,146x = 10,436,226.62
  5. Step 5: Solve for x
    x = 10,436,226.62/4,146
  6. Step 6: Final answer
    x = 2,517.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.