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Finding the Fourth Proportional to 3,114.06, 4,668.54 and 1,449.22

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Solution

The fourth proportional to 3,114.06, 4,668.54 and 1,449.22 is: 2,172.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.06 : 4,668.54 = 1,449.22 : x
  2. Step 2: Convert to fraction form
    3,114.06/4,668.54 = 1,449.22/x
  3. Step 3: Cross multiply
    3,114.06x = 4,668.54 × 1,449.22
  4. Step 4: Simplify right side
    3,114.06x = 6,765,744.34
  5. Step 5: Solve for x
    x = 6,765,744.34/3,114.06
  6. Step 6: Final answer
    x = 2,172.65

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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.