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Finding the Fourth Proportional to 2,322.66, 3,205.32 and 1,274.72

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Solution

The fourth proportional to 2,322.66, 3,205.32 and 1,274.72 is: 1,759.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,322.66 : 3,205.32 = 1,274.72 : x
  2. Step 2: Convert to fraction form
    2,322.66/3,205.32 = 1,274.72/x
  3. Step 3: Cross multiply
    2,322.66x = 3,205.32 × 1,274.72
  4. Step 4: Simplify right side
    2,322.66x = 4,085,885.51
  5. Step 5: Solve for x
    x = 4,085,885.51/2,322.66
  6. Step 6: Final answer
    x = 1,759.14

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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.