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Finding the Fourth Proportional to 2,163.56, 2,984.16 and 1,500.62

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Solution

The fourth proportional to 2,163.56, 2,984.16 and 1,500.62 is: 2,069.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,163.56 : 2,984.16 = 1,500.62 : x
  2. Step 2: Convert to fraction form
    2,163.56/2,984.16 = 1,500.62/x
  3. Step 3: Cross multiply
    2,163.56x = 2,984.16 × 1,500.62
  4. Step 4: Simplify right side
    2,163.56x = 4,478,090.18
  5. Step 5: Solve for x
    x = 4,478,090.18/2,163.56
  6. Step 6: Final answer
    x = 2,069.78

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