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Finding the Fourth Proportional to 2,448.43, 3,671.26 and 804.53

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Solution

The fourth proportional to 2,448.43, 3,671.26 and 804.53 is: 1,206.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,448.43 : 3,671.26 = 804.53 : x
  2. Step 2: Convert to fraction form
    2,448.43/3,671.26 = 804.53/x
  3. Step 3: Cross multiply
    2,448.43x = 3,671.26 × 804.53
  4. Step 4: Simplify right side
    2,448.43x = 2,953,645.97
  5. Step 5: Solve for x
    x = 2,953,645.97/2,448.43
  6. Step 6: Final answer
    x = 1,206.34

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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.