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Finding the Fourth Proportional to 3,172.05, 4,761 and 1,613.16

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Solution

The fourth proportional to 3,172.05, 4,761 and 1,613.16 is: 2,421.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,172.05 : 4,761 = 1,613.16 : x
  2. Step 2: Convert to fraction form
    3,172.05/4,761 = 1,613.16/x
  3. Step 3: Cross multiply
    3,172.05x = 4,761 × 1,613.16
  4. Step 4: Simplify right side
    3,172.05x = 7,680,254.76
  5. Step 5: Solve for x
    x = 7,680,254.76/3,172.05
  6. Step 6: Final answer
    x = 2,421.23

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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.