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Finding the Fourth Proportional to 1,845.95, 2,770.14 and 872.12

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Solution

The fourth proportional to 1,845.95, 2,770.14 and 872.12 is: 1,308.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,845.95 : 2,770.14 = 872.12 : x
  2. Step 2: Convert to fraction form
    1,845.95/2,770.14 = 872.12/x
  3. Step 3: Cross multiply
    1,845.95x = 2,770.14 × 872.12
  4. Step 4: Simplify right side
    1,845.95x = 2,415,880.65
  5. Step 5: Solve for x
    x = 2,415,880.65/1,845.95
  6. Step 6: Final answer
    x = 1,308.75

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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.