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Finding the Fourth Proportional to 2,949.64, 4,072.14 and 1,771

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Solution

The fourth proportional to 2,949.64, 4,072.14 and 1,771 is: 2,444.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,949.64 : 4,072.14 = 1,771 : x
  2. Step 2: Convert to fraction form
    2,949.64/4,072.14 = 1,771/x
  3. Step 3: Cross multiply
    2,949.64x = 4,072.14 × 1,771
  4. Step 4: Simplify right side
    2,949.64x = 7,211,759.94
  5. Step 5: Solve for x
    x = 7,211,759.94/2,949.64
  6. Step 6: Final answer
    x = 2,444.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.