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Finding the Fourth Proportional to 2,663.97, 3,676.32 and 1,485

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Solution

The fourth proportional to 2,663.97, 3,676.32 and 1,485 is: 2,049.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,663.97 : 3,676.32 = 1,485 : x
  2. Step 2: Convert to fraction form
    2,663.97/3,676.32 = 1,485/x
  3. Step 3: Cross multiply
    2,663.97x = 3,676.32 × 1,485
  4. Step 4: Simplify right side
    2,663.97x = 5,459,335.20
  5. Step 5: Solve for x
    x = 5,459,335.20/2,663.97
  6. Step 6: Final answer
    x = 2,049.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.