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Finding the Fourth Proportional to 2,548.38, 3,822.54 and 967.41

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Solution

The fourth proportional to 2,548.38, 3,822.54 and 967.41 is: 1,451.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,548.38 : 3,822.54 = 967.41 : x
  2. Step 2: Convert to fraction form
    2,548.38/3,822.54 = 967.41/x
  3. Step 3: Cross multiply
    2,548.38x = 3,822.54 × 967.41
  4. Step 4: Simplify right side
    2,548.38x = 3,697,963.42
  5. Step 5: Solve for x
    x = 3,697,963.42/2,548.38
  6. Step 6: Final answer
    x = 1,451.10

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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.