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Finding the Fourth Proportional to 2,663.92, 3,676.68 and 1,670.05

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Solution

The fourth proportional to 2,663.92, 3,676.68 and 1,670.05 is: 2,304.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,663.92 : 3,676.68 = 1,670.05 : x
  2. Step 2: Convert to fraction form
    2,663.92/3,676.68 = 1,670.05/x
  3. Step 3: Cross multiply
    2,663.92x = 3,676.68 × 1,670.05
  4. Step 4: Simplify right side
    2,663.92x = 6,140,221.05
  5. Step 5: Solve for x
    x = 6,140,221.05/2,663.92
  6. Step 6: Final answer
    x = 2,304.96

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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.