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Finding the Fourth Proportional to 2,663.93, 3,676.08 and 1,468.88

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Solution

The fourth proportional to 2,663.93, 3,676.08 and 1,468.88 is: 2,026.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,663.93 : 3,676.08 = 1,468.88 : x
  2. Step 2: Convert to fraction form
    2,663.93/3,676.08 = 1,468.88/x
  3. Step 3: Cross multiply
    2,663.93x = 3,676.08 × 1,468.88
  4. Step 4: Simplify right side
    2,663.93x = 5,399,720.39
  5. Step 5: Solve for x
    x = 5,399,720.39/2,663.93
  6. Step 6: Final answer
    x = 2,026.98

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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.