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Finding the Fourth Proportional to 2,322.09, 3,204.48 and 1,274.16

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Solution

The fourth proportional to 2,322.09, 3,204.48 and 1,274.16 is: 1,758.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,322.09 : 3,204.48 = 1,274.16 : x
  2. Step 2: Convert to fraction form
    2,322.09/3,204.48 = 1,274.16/x
  3. Step 3: Cross multiply
    2,322.09x = 3,204.48 × 1,274.16
  4. Step 4: Simplify right side
    2,322.09x = 4,083,020.24
  5. Step 5: Solve for x
    x = 4,083,020.24/2,322.09
  6. Step 6: Final answer
    x = 1,758.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.