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Finding the Fourth Proportional to 2,135.60, 3,206.70 and 1,163.60

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Solution

The fourth proportional to 2,135.60, 3,206.70 and 1,163.60 is: 1,747.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,135.60 : 3,206.70 = 1,163.60 : x
  2. Step 2: Convert to fraction form
    2,135.60/3,206.70 = 1,163.60/x
  3. Step 3: Cross multiply
    2,135.60x = 3,206.70 × 1,163.60
  4. Step 4: Simplify right side
    2,135.60x = 3,731,316.12
  5. Step 5: Solve for x
    x = 3,731,316.12/2,135.60
  6. Step 6: Final answer
    x = 1,747.20

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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.