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Finding the Fourth Proportional to 2,322.56, 3,205.14 and 1,274.63

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Solution

The fourth proportional to 2,322.56, 3,205.14 and 1,274.63 is: 1,758.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,322.56 : 3,205.14 = 1,274.63 : x
  2. Step 2: Convert to fraction form
    2,322.56/3,205.14 = 1,274.63/x
  3. Step 3: Cross multiply
    2,322.56x = 3,205.14 × 1,274.63
  4. Step 4: Simplify right side
    2,322.56x = 4,085,351.57
  5. Step 5: Solve for x
    x = 4,085,351.57/2,322.56
  6. Step 6: Final answer
    x = 1,758.98

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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.