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Finding the Fourth Proportional to 1,732.20, 2,597.36 and 1,185

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Solution

The fourth proportional to 1,732.20, 2,597.36 and 1,185 is: 1,776.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,732.20 : 2,597.36 = 1,185 : x
  2. Step 2: Convert to fraction form
    1,732.20/2,597.36 = 1,185/x
  3. Step 3: Cross multiply
    1,732.20x = 2,597.36 × 1,185
  4. Step 4: Simplify right side
    1,732.20x = 3,077,865.68
  5. Step 5: Solve for x
    x = 3,077,865.68/1,732.20
  6. Step 6: Final answer
    x = 1,776.85

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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.