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Finding the Fourth Proportional to 4,218, 6,324.49 and 1,754.65

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Solution

The fourth proportional to 4,218, 6,324.49 and 1,754.65 is: 2,630.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,218 : 6,324.49 = 1,754.65 : x
  2. Step 2: Convert to fraction form
    4,218/6,324.49 = 1,754.65/x
  3. Step 3: Cross multiply
    4,218x = 6,324.49 × 1,754.65
  4. Step 4: Simplify right side
    4,218x = 11,097,266.38
  5. Step 5: Solve for x
    x = 11,097,266.38/4,218
  6. Step 6: Final answer
    x = 2,630.93

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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.