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Finding the Fourth Proportional to 2,209.44, 3,314.57 and 976.89

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Solution

The fourth proportional to 2,209.44, 3,314.57 and 976.89 is: 1,465.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,209.44 : 3,314.57 = 976.89 : x
  2. Step 2: Convert to fraction form
    2,209.44/3,314.57 = 976.89/x
  3. Step 3: Cross multiply
    2,209.44x = 3,314.57 × 976.89
  4. Step 4: Simplify right side
    2,209.44x = 3,237,983.33
  5. Step 5: Solve for x
    x = 3,237,983.33/2,209.44
  6. Step 6: Final answer
    x = 1,465.52

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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.