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Finding the Fourth Proportional to 1,729.55, 2,593.35 and 1,182.39

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Solution

The fourth proportional to 1,729.55, 2,593.35 and 1,182.39 is: 1,772.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729.55 : 2,593.35 = 1,182.39 : x
  2. Step 2: Convert to fraction form
    1,729.55/2,593.35 = 1,182.39/x
  3. Step 3: Cross multiply
    1,729.55x = 2,593.35 × 1,182.39
  4. Step 4: Simplify right side
    1,729.55x = 3,066,351.11
  5. Step 5: Solve for x
    x = 3,066,351.11/1,729.55
  6. Step 6: Final answer
    x = 1,772.92

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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.