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Finding the Fourth Proportional to 2,889, 3,985.20 and 1,770.48

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Solution

The fourth proportional to 2,889, 3,985.20 and 1,770.48 is: 2,442.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,889 : 3,985.20 = 1,770.48 : x
  2. Step 2: Convert to fraction form
    2,889/3,985.20 = 1,770.48/x
  3. Step 3: Cross multiply
    2,889x = 3,985.20 × 1,770.48
  4. Step 4: Simplify right side
    2,889x = 7,055,716.90
  5. Step 5: Solve for x
    x = 7,055,716.90/2,889
  6. Step 6: Final answer
    x = 2,442.27

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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.