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Finding the Fourth Proportional to 2,322.52, 3,205.08 and 1,274.56

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Solution

The fourth proportional to 2,322.52, 3,205.08 and 1,274.56 is: 1,758.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,322.52 : 3,205.08 = 1,274.56 : x
  2. Step 2: Convert to fraction form
    2,322.52/3,205.08 = 1,274.56/x
  3. Step 3: Cross multiply
    2,322.52x = 3,205.08 × 1,274.56
  4. Step 4: Simplify right side
    2,322.52x = 4,085,066.76
  5. Step 5: Solve for x
    x = 4,085,066.76/2,322.52
  6. Step 6: Final answer
    x = 1,758.89

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