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Finding the Fourth Proportional to 1,842, 2,542 and 1,014

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Solution

The fourth proportional to 1,842, 2,542 and 1,014 is: 1,399.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,842 : 2,542 = 1,014 : x
  2. Step 2: Convert to fraction form
    1,842/2,542 = 1,014/x
  3. Step 3: Cross multiply
    1,842x = 2,542 × 1,014
  4. Step 4: Simplify right side
    1,842x = 2,577,588
  5. Step 5: Solve for x
    x = 2,577,588/1,842
  6. Step 6: Final answer
    x = 1,399.34

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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.