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Finding the Fourth Proportional to 2,009.52, 3,013.88 and 548.69

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Solution

The fourth proportional to 2,009.52, 3,013.88 and 548.69 is: 822.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009.52 : 3,013.88 = 548.69 : x
  2. Step 2: Convert to fraction form
    2,009.52/3,013.88 = 548.69/x
  3. Step 3: Cross multiply
    2,009.52x = 3,013.88 × 548.69
  4. Step 4: Simplify right side
    2,009.52x = 1,653,668.00
  5. Step 5: Solve for x
    x = 1,653,668.00/2,009.52
  6. Step 6: Final answer
    x = 822.92

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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.