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Finding the Fourth Proportional to 1,647.62, 2,471.50 and 493.38

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Solution

The fourth proportional to 1,647.62, 2,471.50 and 493.38 is: 740.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647.62 : 2,471.50 = 493.38 : x
  2. Step 2: Convert to fraction form
    1,647.62/2,471.50 = 493.38/x
  3. Step 3: Cross multiply
    1,647.62x = 2,471.50 × 493.38
  4. Step 4: Simplify right side
    1,647.62x = 1,219,388.67
  5. Step 5: Solve for x
    x = 1,219,388.67/1,647.62
  6. Step 6: Final answer
    x = 740.09

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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.