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Finding the Fourth Proportional to 1,651.82, 2,477.70 and 665.06

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Solution

The fourth proportional to 1,651.82, 2,477.70 and 665.06 is: 997.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,651.82 : 2,477.70 = 665.06 : x
  2. Step 2: Convert to fraction form
    1,651.82/2,477.70 = 665.06/x
  3. Step 3: Cross multiply
    1,651.82x = 2,477.70 × 665.06
  4. Step 4: Simplify right side
    1,651.82x = 1,647,819.16
  5. Step 5: Solve for x
    x = 1,647,819.16/1,651.82
  6. Step 6: Final answer
    x = 997.58

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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.