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Finding the Fourth Proportional to 2,531.23, 3,797.40 and 776.47

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Solution

The fourth proportional to 2,531.23, 3,797.40 and 776.47 is: 1,164.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,531.23 : 3,797.40 = 776.47 : x
  2. Step 2: Convert to fraction form
    2,531.23/3,797.40 = 776.47/x
  3. Step 3: Cross multiply
    2,531.23x = 3,797.40 × 776.47
  4. Step 4: Simplify right side
    2,531.23x = 2,948,563.30
  5. Step 5: Solve for x
    x = 2,948,563.30/2,531.23
  6. Step 6: Final answer
    x = 1,164.88

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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.