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Finding the Fourth Proportional to 1,782.76, 2,675.42 and 757.48

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Solution

The fourth proportional to 1,782.76, 2,675.42 and 757.48 is: 1,136.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.76 : 2,675.42 = 757.48 : x
  2. Step 2: Convert to fraction form
    1,782.76/2,675.42 = 757.48/x
  3. Step 3: Cross multiply
    1,782.76x = 2,675.42 × 757.48
  4. Step 4: Simplify right side
    1,782.76x = 2,026,577.14
  5. Step 5: Solve for x
    x = 2,026,577.14/1,782.76
  6. Step 6: Final answer
    x = 1,136.76

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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.