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Finding the Fourth Proportional to 2,662.65, 3,995.87 and 1,203.03

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Solution

The fourth proportional to 2,662.65, 3,995.87 and 1,203.03 is: 1,805.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,662.65 : 3,995.87 = 1,203.03 : x
  2. Step 2: Convert to fraction form
    2,662.65/3,995.87 = 1,203.03/x
  3. Step 3: Cross multiply
    2,662.65x = 3,995.87 × 1,203.03
  4. Step 4: Simplify right side
    2,662.65x = 4,807,145.47
  5. Step 5: Solve for x
    x = 4,807,145.47/2,662.65
  6. Step 6: Final answer
    x = 1,805.40

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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.