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Finding the Fourth Proportional to 2,543.20, 3,505.92 and 2,100.32

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Solution

The fourth proportional to 2,543.20, 3,505.92 and 2,100.32 is: 2,895.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543.20 : 3,505.92 = 2,100.32 : x
  2. Step 2: Convert to fraction form
    2,543.20/3,505.92 = 2,100.32/x
  3. Step 3: Cross multiply
    2,543.20x = 3,505.92 × 2,100.32
  4. Step 4: Simplify right side
    2,543.20x = 7,363,553.89
  5. Step 5: Solve for x
    x = 7,363,553.89/2,543.20
  6. Step 6: Final answer
    x = 2,895.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.