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Finding the Fourth Proportional to 1,550.34, 2,327 and 966.46

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Solution

The fourth proportional to 1,550.34, 2,327 and 966.46 is: 1,450.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,550.34 : 2,327 = 966.46 : x
  2. Step 2: Convert to fraction form
    1,550.34/2,327 = 966.46/x
  3. Step 3: Cross multiply
    1,550.34x = 2,327 × 966.46
  4. Step 4: Simplify right side
    1,550.34x = 2,248,952.42
  5. Step 5: Solve for x
    x = 2,248,952.42/1,550.34
  6. Step 6: Final answer
    x = 1,450.62

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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.