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Finding the Fourth Proportional to 2,504.39, 3,758.75 and 966.47

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Solution

The fourth proportional to 2,504.39, 3,758.75 and 966.47 is: 1,450.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,504.39 : 3,758.75 = 966.47 : x
  2. Step 2: Convert to fraction form
    2,504.39/3,758.75 = 966.47/x
  3. Step 3: Cross multiply
    2,504.39x = 3,758.75 × 966.47
  4. Step 4: Simplify right side
    2,504.39x = 3,632,714.28
  5. Step 5: Solve for x
    x = 3,632,714.28/2,504.39
  6. Step 6: Final answer
    x = 1,450.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.