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Finding the Fourth Proportional to 2,009.23, 3,013.84 and 548.60

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Solution

The fourth proportional to 2,009.23, 3,013.84 and 548.60 is: 822.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009.23 : 3,013.84 = 548.60 : x
  2. Step 2: Convert to fraction form
    2,009.23/3,013.84 = 548.60/x
  3. Step 3: Cross multiply
    2,009.23x = 3,013.84 × 548.60
  4. Step 4: Simplify right side
    2,009.23x = 1,653,376.18
  5. Step 5: Solve for x
    x = 1,653,376.18/2,009.23
  6. Step 6: Final answer
    x = 822.89

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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.