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Finding the Fourth Proportional to 2,543.70, 3,816.32 and 1,063.64

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Solution

The fourth proportional to 2,543.70, 3,816.32 and 1,063.64 is: 1,595.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543.70 : 3,816.32 = 1,063.64 : x
  2. Step 2: Convert to fraction form
    2,543.70/3,816.32 = 1,063.64/x
  3. Step 3: Cross multiply
    2,543.70x = 3,816.32 × 1,063.64
  4. Step 4: Simplify right side
    2,543.70x = 4,059,190.60
  5. Step 5: Solve for x
    x = 4,059,190.60/2,543.70
  6. Step 6: Final answer
    x = 1,595.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.