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Finding the Fourth Proportional to 2,505.43, 3,759.56 and 946.49

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Solution

The fourth proportional to 2,505.43, 3,759.56 and 946.49 is: 1,420.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,505.43 : 3,759.56 = 946.49 : x
  2. Step 2: Convert to fraction form
    2,505.43/3,759.56 = 946.49/x
  3. Step 3: Cross multiply
    2,505.43x = 3,759.56 × 946.49
  4. Step 4: Simplify right side
    2,505.43x = 3,558,371.29
  5. Step 5: Solve for x
    x = 3,558,371.29/2,505.43
  6. Step 6: Final answer
    x = 1,420.26

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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.