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Finding the Fourth Proportional to 2,009.21, 3,013.46 and 548.36

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Solution

The fourth proportional to 2,009.21, 3,013.46 and 548.36 is: 822.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009.21 : 3,013.46 = 548.36 : x
  2. Step 2: Convert to fraction form
    2,009.21/3,013.46 = 548.36/x
  3. Step 3: Cross multiply
    2,009.21x = 3,013.46 × 548.36
  4. Step 4: Simplify right side
    2,009.21x = 1,652,460.93
  5. Step 5: Solve for x
    x = 1,652,460.93/2,009.21
  6. Step 6: Final answer
    x = 822.44

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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.