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Finding the Fourth Proportional to 1,846.73, 2,770.85 and 751.19

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Solution

The fourth proportional to 1,846.73, 2,770.85 and 751.19 is: 1,127.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,846.73 : 2,770.85 = 751.19 : x
  2. Step 2: Convert to fraction form
    1,846.73/2,770.85 = 751.19/x
  3. Step 3: Cross multiply
    1,846.73x = 2,770.85 × 751.19
  4. Step 4: Simplify right side
    1,846.73x = 2,081,422.84
  5. Step 5: Solve for x
    x = 2,081,422.84/1,846.73
  6. Step 6: Final answer
    x = 1,127.08

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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.