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Finding the Fourth Proportional to 2,755.72, 4,134.12 and 1,024.48

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Solution

The fourth proportional to 2,755.72, 4,134.12 and 1,024.48 is: 1,536.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,755.72 : 4,134.12 = 1,024.48 : x
  2. Step 2: Convert to fraction form
    2,755.72/4,134.12 = 1,024.48/x
  3. Step 3: Cross multiply
    2,755.72x = 4,134.12 × 1,024.48
  4. Step 4: Simplify right side
    2,755.72x = 4,235,323.26
  5. Step 5: Solve for x
    x = 4,235,323.26/2,755.72
  6. Step 6: Final answer
    x = 1,536.92

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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.