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Finding the Fourth Proportional to 2,664, 3,997.62 and 1,125

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Solution

The fourth proportional to 2,664, 3,997.62 and 1,125 is: 1,688.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,664 : 3,997.62 = 1,125 : x
  2. Step 2: Convert to fraction form
    2,664/3,997.62 = 1,125/x
  3. Step 3: Cross multiply
    2,664x = 3,997.62 × 1,125
  4. Step 4: Simplify right side
    2,664x = 4,497,322.50
  5. Step 5: Solve for x
    x = 4,497,322.50/2,664
  6. Step 6: Final answer
    x = 1,688.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.