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Finding the Fourth Proportional to 2,009.24, 3,013.94 and 548.39

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Solution

The fourth proportional to 2,009.24, 3,013.94 and 548.39 is: 822.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009.24 : 3,013.94 = 548.39 : x
  2. Step 2: Convert to fraction form
    2,009.24/3,013.94 = 548.39/x
  3. Step 3: Cross multiply
    2,009.24x = 3,013.94 × 548.39
  4. Step 4: Simplify right side
    2,009.24x = 1,652,806.51
  5. Step 5: Solve for x
    x = 1,652,806.51/2,009.24
  6. Step 6: Final answer
    x = 822.60

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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.