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Finding the Fourth Proportional to 2,163.22, 2,985.54 and 1,278.88

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Solution

The fourth proportional to 2,163.22, 2,985.54 and 1,278.88 is: 1,765.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,163.22 : 2,985.54 = 1,278.88 : x
  2. Step 2: Convert to fraction form
    2,163.22/2,985.54 = 1,278.88/x
  3. Step 3: Cross multiply
    2,163.22x = 2,985.54 × 1,278.88
  4. Step 4: Simplify right side
    2,163.22x = 3,818,147.40
  5. Step 5: Solve for x
    x = 3,818,147.40/2,163.22
  6. Step 6: Final answer
    x = 1,765.03

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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.