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Finding the Fourth Proportional to 3,031.25, 4,548.02 and 979.25

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Solution

The fourth proportional to 3,031.25, 4,548.02 and 979.25 is: 1,469.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,031.25 : 4,548.02 = 979.25 : x
  2. Step 2: Convert to fraction form
    3,031.25/4,548.02 = 979.25/x
  3. Step 3: Cross multiply
    3,031.25x = 4,548.02 × 979.25
  4. Step 4: Simplify right side
    3,031.25x = 4,453,648.59
  5. Step 5: Solve for x
    x = 4,453,648.59/3,031.25
  6. Step 6: Final answer
    x = 1,469.24

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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.