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Finding the Fourth Proportional to 2,382.01, 3,573.42 and 738.23

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Solution

The fourth proportional to 2,382.01, 3,573.42 and 738.23 is: 1,107.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,382.01 : 3,573.42 = 738.23 : x
  2. Step 2: Convert to fraction form
    2,382.01/3,573.42 = 738.23/x
  3. Step 3: Cross multiply
    2,382.01x = 3,573.42 × 738.23
  4. Step 4: Simplify right side
    2,382.01x = 2,638,005.31
  5. Step 5: Solve for x
    x = 2,638,005.31/2,382.01
  6. Step 6: Final answer
    x = 1,107.47

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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.