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Finding the Fourth Proportional to 2,287, 3,431.16 and 1,313.80

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Solution

The fourth proportional to 2,287, 3,431.16 and 1,313.80 is: 1,971.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287 : 3,431.16 = 1,313.80 : x
  2. Step 2: Convert to fraction form
    2,287/3,431.16 = 1,313.80/x
  3. Step 3: Cross multiply
    2,287x = 3,431.16 × 1,313.80
  4. Step 4: Simplify right side
    2,287x = 4,507,858.01
  5. Step 5: Solve for x
    x = 4,507,858.01/2,287
  6. Step 6: Final answer
    x = 1,971.08

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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.