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Finding the Fourth Proportional to 1,322.58, 1,820.94 and 1,165.08

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Solution

The fourth proportional to 1,322.58, 1,820.94 and 1,165.08 is: 1,604.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.58 : 1,820.94 = 1,165.08 : x
  2. Step 2: Convert to fraction form
    1,322.58/1,820.94 = 1,165.08/x
  3. Step 3: Cross multiply
    1,322.58x = 1,820.94 × 1,165.08
  4. Step 4: Simplify right side
    1,322.58x = 2,121,540.78
  5. Step 5: Solve for x
    x = 2,121,540.78/1,322.58
  6. Step 6: Final answer
    x = 1,604.09

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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.