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Finding the Fourth Proportional to 3,166.40, 4,749.60 and 2,064.80

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Solution

The fourth proportional to 3,166.40, 4,749.60 and 2,064.80 is: 3,097.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,166.40 : 4,749.60 = 2,064.80 : x
  2. Step 2: Convert to fraction form
    3,166.40/4,749.60 = 2,064.80/x
  3. Step 3: Cross multiply
    3,166.40x = 4,749.60 × 2,064.80
  4. Step 4: Simplify right side
    3,166.40x = 9,806,974.08
  5. Step 5: Solve for x
    x = 9,806,974.08/3,166.40
  6. Step 6: Final answer
    x = 3,097.20

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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.