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Finding the Fourth Proportional to 2,139.60, 3,207.80 and 1,166.80

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Solution

The fourth proportional to 2,139.60, 3,207.80 and 1,166.80 is: 1,749.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,139.60 : 3,207.80 = 1,166.80 : x
  2. Step 2: Convert to fraction form
    2,139.60/3,207.80 = 1,166.80/x
  3. Step 3: Cross multiply
    2,139.60x = 3,207.80 × 1,166.80
  4. Step 4: Simplify right side
    2,139.60x = 3,742,861.04
  5. Step 5: Solve for x
    x = 3,742,861.04/2,139.60
  6. Step 6: Final answer
    x = 1,749.33

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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.