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Finding the Fourth Proportional to 2,542.94, 3,807.93 and 1,241

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Solution

The fourth proportional to 2,542.94, 3,807.93 and 1,241 is: 1,858.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,542.94 : 3,807.93 = 1,241 : x
  2. Step 2: Convert to fraction form
    2,542.94/3,807.93 = 1,241/x
  3. Step 3: Cross multiply
    2,542.94x = 3,807.93 × 1,241
  4. Step 4: Simplify right side
    2,542.94x = 4,725,641.13
  5. Step 5: Solve for x
    x = 4,725,641.13/2,542.94
  6. Step 6: Final answer
    x = 1,858.34

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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.