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Finding the Fourth Proportional to 7,179.60, 10,770 and 1,985.46

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Solution

The fourth proportional to 7,179.60, 10,770 and 1,985.46 is: 2,978.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,179.60 : 10,770 = 1,985.46 : x
  2. Step 2: Convert to fraction form
    7,179.60/10,770 = 1,985.46/x
  3. Step 3: Cross multiply
    7,179.60x = 10,770 × 1,985.46
  4. Step 4: Simplify right side
    7,179.60x = 21,383,404.20
  5. Step 5: Solve for x
    x = 21,383,404.20/7,179.60
  6. Step 6: Final answer
    x = 2,978.36

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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.