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Finding the Fourth Proportional to 3,204.53, 4,798.10 and 1,662.29

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Solution

The fourth proportional to 3,204.53, 4,798.10 and 1,662.29 is: 2,488.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,204.53 : 4,798.10 = 1,662.29 : x
  2. Step 2: Convert to fraction form
    3,204.53/4,798.10 = 1,662.29/x
  3. Step 3: Cross multiply
    3,204.53x = 4,798.10 × 1,662.29
  4. Step 4: Simplify right side
    3,204.53x = 7,975,813.81
  5. Step 5: Solve for x
    x = 7,975,813.81/3,204.53
  6. Step 6: Final answer
    x = 2,488.92

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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.