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Finding the Fourth Proportional to 2,755.38, 4,133.09 and 1,024

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Solution

The fourth proportional to 2,755.38, 4,133.09 and 1,024 is: 1,536.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,755.38 : 4,133.09 = 1,024 : x
  2. Step 2: Convert to fraction form
    2,755.38/4,133.09 = 1,024/x
  3. Step 3: Cross multiply
    2,755.38x = 4,133.09 × 1,024
  4. Step 4: Simplify right side
    2,755.38x = 4,232,279.04
  5. Step 5: Solve for x
    x = 4,232,279.04/2,755.38
  6. Step 6: Final answer
    x = 1,536.01

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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.