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Finding the Fourth Proportional to 1,733.38, 2,597.82 and 1,321

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Solution

The fourth proportional to 1,733.38, 2,597.82 and 1,321 is: 1,979.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,733.38 : 2,597.82 = 1,321 : x
  2. Step 2: Convert to fraction form
    1,733.38/2,597.82 = 1,321/x
  3. Step 3: Cross multiply
    1,733.38x = 2,597.82 × 1,321
  4. Step 4: Simplify right side
    1,733.38x = 3,431,720.22
  5. Step 5: Solve for x
    x = 3,431,720.22/1,733.38
  6. Step 6: Final answer
    x = 1,979.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.