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Finding the Fourth Proportional to 2,171.52, 3,257.23 and 528.07

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Solution

The fourth proportional to 2,171.52, 3,257.23 and 528.07 is: 792.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,171.52 : 3,257.23 = 528.07 : x
  2. Step 2: Convert to fraction form
    2,171.52/3,257.23 = 528.07/x
  3. Step 3: Cross multiply
    2,171.52x = 3,257.23 × 528.07
  4. Step 4: Simplify right side
    2,171.52x = 1,720,045.45
  5. Step 5: Solve for x
    x = 1,720,045.45/2,171.52
  6. Step 6: Final answer
    x = 792.09

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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.