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Finding the Fourth Proportional to 3,224.89, 4,834.19 and 1,666.65

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Solution

The fourth proportional to 3,224.89, 4,834.19 and 1,666.65 is: 2,498.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,224.89 : 4,834.19 = 1,666.65 : x
  2. Step 2: Convert to fraction form
    3,224.89/4,834.19 = 1,666.65/x
  3. Step 3: Cross multiply
    3,224.89x = 4,834.19 × 1,666.65
  4. Step 4: Simplify right side
    3,224.89x = 8,056,870.26
  5. Step 5: Solve for x
    x = 8,056,870.26/3,224.89
  6. Step 6: Final answer
    x = 2,498.34

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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.