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Finding the Fourth Proportional to 4,426.38, 6,642 and 1,654.97

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Solution

The fourth proportional to 4,426.38, 6,642 and 1,654.97 is: 2,483.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,426.38 : 6,642 = 1,654.97 : x
  2. Step 2: Convert to fraction form
    4,426.38/6,642 = 1,654.97/x
  3. Step 3: Cross multiply
    4,426.38x = 6,642 × 1,654.97
  4. Step 4: Simplify right side
    4,426.38x = 10,992,277.53
  5. Step 5: Solve for x
    x = 10,992,277.53/4,426.38
  6. Step 6: Final answer
    x = 2,483.36

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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.