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Finding the Fourth Proportional to 2,543.88, 3,809.30 and 2,132

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Solution

The fourth proportional to 2,543.88, 3,809.30 and 2,132 is: 3,192.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543.88 : 3,809.30 = 2,132 : x
  2. Step 2: Convert to fraction form
    2,543.88/3,809.30 = 2,132/x
  3. Step 3: Cross multiply
    2,543.88x = 3,809.30 × 2,132
  4. Step 4: Simplify right side
    2,543.88x = 8,121,427.60
  5. Step 5: Solve for x
    x = 8,121,427.60/2,543.88
  6. Step 6: Final answer
    x = 3,192.54

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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.