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Finding the Fourth Proportional to 2,172.54, 3,260.03 and 2,154.91

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Solution

The fourth proportional to 2,172.54, 3,260.03 and 2,154.91 is: 3,233.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,172.54 : 3,260.03 = 2,154.91 : x
  2. Step 2: Convert to fraction form
    2,172.54/3,260.03 = 2,154.91/x
  3. Step 3: Cross multiply
    2,172.54x = 3,260.03 × 2,154.91
  4. Step 4: Simplify right side
    2,172.54x = 7,025,071.25
  5. Step 5: Solve for x
    x = 7,025,071.25/2,172.54
  6. Step 6: Final answer
    x = 3,233.58

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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.