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Finding the Fourth Proportional to 1,647.62, 2,471.82 and 537.03

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Solution

The fourth proportional to 1,647.62, 2,471.82 and 537.03 is: 805.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647.62 : 2,471.82 = 537.03 : x
  2. Step 2: Convert to fraction form
    1,647.62/2,471.82 = 537.03/x
  3. Step 3: Cross multiply
    1,647.62x = 2,471.82 × 537.03
  4. Step 4: Simplify right side
    1,647.62x = 1,327,430.21
  5. Step 5: Solve for x
    x = 1,327,430.21/1,647.62
  6. Step 6: Final answer
    x = 805.67

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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.