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Finding the Fourth Proportional to 3,027.45, 4,539.12 and 1,543.03

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Solution

The fourth proportional to 3,027.45, 4,539.12 and 1,543.03 is: 2,313.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,027.45 : 4,539.12 = 1,543.03 : x
  2. Step 2: Convert to fraction form
    3,027.45/4,539.12 = 1,543.03/x
  3. Step 3: Cross multiply
    3,027.45x = 4,539.12 × 1,543.03
  4. Step 4: Simplify right side
    3,027.45x = 7,003,981.20
  5. Step 5: Solve for x
    x = 7,003,981.20/3,027.45
  6. Step 6: Final answer
    x = 2,313.49

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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.