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Finding the Fourth Proportional to 3,269.72, 4,510.54 and 1,924.38

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Solution

The fourth proportional to 3,269.72, 4,510.54 and 1,924.38 is: 2,654.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,269.72 : 4,510.54 = 1,924.38 : x
  2. Step 2: Convert to fraction form
    3,269.72/4,510.54 = 1,924.38/x
  3. Step 3: Cross multiply
    3,269.72x = 4,510.54 × 1,924.38
  4. Step 4: Simplify right side
    3,269.72x = 8,679,992.97
  5. Step 5: Solve for x
    x = 8,679,992.97/3,269.72
  6. Step 6: Final answer
    x = 2,654.66

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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.