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Finding the Fourth Proportional to 2,173.82, 3,260.75 and 530.37

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Solution

The fourth proportional to 2,173.82, 3,260.75 and 530.37 is: 795.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,173.82 : 3,260.75 = 530.37 : x
  2. Step 2: Convert to fraction form
    2,173.82/3,260.75 = 530.37/x
  3. Step 3: Cross multiply
    2,173.82x = 3,260.75 × 530.37
  4. Step 4: Simplify right side
    2,173.82x = 1,729,401.33
  5. Step 5: Solve for x
    x = 1,729,401.33/2,173.82
  6. Step 6: Final answer
    x = 795.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.