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Finding the Fourth Proportional to 4,298.50, 6,446.40 and 1,665.82

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Solution

The fourth proportional to 4,298.50, 6,446.40 and 1,665.82 is: 2,498.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,298.50 : 6,446.40 = 1,665.82 : x
  2. Step 2: Convert to fraction form
    4,298.50/6,446.40 = 1,665.82/x
  3. Step 3: Cross multiply
    4,298.50x = 6,446.40 × 1,665.82
  4. Step 4: Simplify right side
    4,298.50x = 10,738,542.05
  5. Step 5: Solve for x
    x = 10,738,542.05/4,298.50
  6. Step 6: Final answer
    x = 2,498.21

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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.