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Finding the Fourth Proportional to 1,647.62, 2,471.75 and 537.35

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Solution

The fourth proportional to 1,647.62, 2,471.75 and 537.35 is: 806.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647.62 : 2,471.75 = 537.35 : x
  2. Step 2: Convert to fraction form
    1,647.62/2,471.75 = 537.35/x
  3. Step 3: Cross multiply
    1,647.62x = 2,471.75 × 537.35
  4. Step 4: Simplify right side
    1,647.62x = 1,328,181.83
  5. Step 5: Solve for x
    x = 1,328,181.83/1,647.62
  6. Step 6: Final answer
    x = 806.12

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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.