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Finding the Fourth Proportional to 2,572.39, 3,858.63 and 841

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Solution

The fourth proportional to 2,572.39, 3,858.63 and 841 is: 1,261.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,572.39 : 3,858.63 = 841 : x
  2. Step 2: Convert to fraction form
    2,572.39/3,858.63 = 841/x
  3. Step 3: Cross multiply
    2,572.39x = 3,858.63 × 841
  4. Step 4: Simplify right side
    2,572.39x = 3,245,107.83
  5. Step 5: Solve for x
    x = 3,245,107.83/2,572.39
  6. Step 6: Final answer
    x = 1,261.51

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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.