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Finding the Fourth Proportional to 2,954.07, 4,072.83 and 2,421

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Solution

The fourth proportional to 2,954.07, 4,072.83 and 2,421 is: 3,337.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,954.07 : 4,072.83 = 2,421 : x
  2. Step 2: Convert to fraction form
    2,954.07/4,072.83 = 2,421/x
  3. Step 3: Cross multiply
    2,954.07x = 4,072.83 × 2,421
  4. Step 4: Simplify right side
    2,954.07x = 9,860,321.43
  5. Step 5: Solve for x
    x = 9,860,321.43/2,954.07
  6. Step 6: Final answer
    x = 3,337.88

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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.