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Finding the Fourth Proportional to 2,112.85, 3,165.20 and 1,185.58

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Solution

The fourth proportional to 2,112.85, 3,165.20 and 1,185.58 is: 1,776.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,112.85 : 3,165.20 = 1,185.58 : x
  2. Step 2: Convert to fraction form
    2,112.85/3,165.20 = 1,185.58/x
  3. Step 3: Cross multiply
    2,112.85x = 3,165.20 × 1,185.58
  4. Step 4: Simplify right side
    2,112.85x = 3,752,576.06
  5. Step 5: Solve for x
    x = 3,752,576.06/2,112.85
  6. Step 6: Final answer
    x = 1,776.08

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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.