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Finding the Fourth Proportional to 1,846.25, 2,770.69 and 1,025.18

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Solution

The fourth proportional to 1,846.25, 2,770.69 and 1,025.18 is: 1,538.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,846.25 : 2,770.69 = 1,025.18 : x
  2. Step 2: Convert to fraction form
    1,846.25/2,770.69 = 1,025.18/x
  3. Step 3: Cross multiply
    1,846.25x = 2,770.69 × 1,025.18
  4. Step 4: Simplify right side
    1,846.25x = 2,840,455.97
  5. Step 5: Solve for x
    x = 2,840,455.97/1,846.25
  6. Step 6: Final answer
    x = 1,538.50

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Why These Related Problems?

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