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Finding the Fourth Proportional to 2,146.65, 3,220.99 and 1,172.72

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Solution

The fourth proportional to 2,146.65, 3,220.99 and 1,172.72 is: 1,759.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146.65 : 3,220.99 = 1,172.72 : x
  2. Step 2: Convert to fraction form
    2,146.65/3,220.99 = 1,172.72/x
  3. Step 3: Cross multiply
    2,146.65x = 3,220.99 × 1,172.72
  4. Step 4: Simplify right side
    2,146.65x = 3,777,319.39
  5. Step 5: Solve for x
    x = 3,777,319.39/2,146.65
  6. Step 6: Final answer
    x = 1,759.64

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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.