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Finding the Fourth Proportional to 3,046.01, 4,202.69 and 1,865.03

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Solution

The fourth proportional to 3,046.01, 4,202.69 and 1,865.03 is: 2,573.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,046.01 : 4,202.69 = 1,865.03 : x
  2. Step 2: Convert to fraction form
    3,046.01/4,202.69 = 1,865.03/x
  3. Step 3: Cross multiply
    3,046.01x = 4,202.69 × 1,865.03
  4. Step 4: Simplify right side
    3,046.01x = 7,838,112.59
  5. Step 5: Solve for x
    x = 7,838,112.59/3,046.01
  6. Step 6: Final answer
    x = 2,573.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.