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Finding the Fourth Proportional to 1,907.68, 2,843.48 and 1,844.50

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Solution

The fourth proportional to 1,907.68, 2,843.48 and 1,844.50 is: 2,749.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,907.68 : 2,843.48 = 1,844.50 : x
  2. Step 2: Convert to fraction form
    1,907.68/2,843.48 = 1,844.50/x
  3. Step 3: Cross multiply
    1,907.68x = 2,843.48 × 1,844.50
  4. Step 4: Simplify right side
    1,907.68x = 5,244,798.86
  5. Step 5: Solve for x
    x = 5,244,798.86/1,907.68
  6. Step 6: Final answer
    x = 2,749.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.