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Finding the Fourth Proportional to 2,175.68, 3,264 and 1,201.28

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Solution

The fourth proportional to 2,175.68, 3,264 and 1,201.28 is: 1,802.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,175.68 : 3,264 = 1,201.28 : x
  2. Step 2: Convert to fraction form
    2,175.68/3,264 = 1,201.28/x
  3. Step 3: Cross multiply
    2,175.68x = 3,264 × 1,201.28
  4. Step 4: Simplify right side
    2,175.68x = 3,920,977.92
  5. Step 5: Solve for x
    x = 3,920,977.92/2,175.68
  6. Step 6: Final answer
    x = 1,802.19

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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.