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Finding the Fourth Proportional to 1,848.75, 2,770.24 and 1,640.94

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Solution

The fourth proportional to 1,848.75, 2,770.24 and 1,640.94 is: 2,458.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,848.75 : 2,770.24 = 1,640.94 : x
  2. Step 2: Convert to fraction form
    1,848.75/2,770.24 = 1,640.94/x
  3. Step 3: Cross multiply
    1,848.75x = 2,770.24 × 1,640.94
  4. Step 4: Simplify right side
    1,848.75x = 4,545,797.63
  5. Step 5: Solve for x
    x = 4,545,797.63/1,848.75
  6. Step 6: Final answer
    x = 2,458.85

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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.