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Finding the Fourth Proportional to 1,962, 2,707.44 and 1,077.78

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Solution

The fourth proportional to 1,962, 2,707.44 and 1,077.78 is: 1,487.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,962 : 2,707.44 = 1,077.78 : x
  2. Step 2: Convert to fraction form
    1,962/2,707.44 = 1,077.78/x
  3. Step 3: Cross multiply
    1,962x = 2,707.44 × 1,077.78
  4. Step 4: Simplify right side
    1,962x = 2,918,024.68
  5. Step 5: Solve for x
    x = 2,918,024.68/1,962
  6. Step 6: Final answer
    x = 1,487.27

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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.