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Finding the Fourth Proportional to 2,172.18, 3,252.06 and 1,654.20

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Solution

The fourth proportional to 2,172.18, 3,252.06 and 1,654.20 is: 2,476.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,172.18 : 3,252.06 = 1,654.20 : x
  2. Step 2: Convert to fraction form
    2,172.18/3,252.06 = 1,654.20/x
  3. Step 3: Cross multiply
    2,172.18x = 3,252.06 × 1,654.20
  4. Step 4: Simplify right side
    2,172.18x = 5,379,557.65
  5. Step 5: Solve for x
    x = 5,379,557.65/2,172.18
  6. Step 6: Final answer
    x = 2,476.57

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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.