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Finding the Fourth Proportional to 2,173.88, 3,260.82 and 530.42

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Solution

The fourth proportional to 2,173.88, 3,260.82 and 530.42 is: 795.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,173.88 : 3,260.82 = 530.42 : x
  2. Step 2: Convert to fraction form
    2,173.88/3,260.82 = 530.42/x
  3. Step 3: Cross multiply
    2,173.88x = 3,260.82 × 530.42
  4. Step 4: Simplify right side
    2,173.88x = 1,729,604.14
  5. Step 5: Solve for x
    x = 1,729,604.14/2,173.88
  6. Step 6: Final answer
    x = 795.63

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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.