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Finding the Fourth Proportional to 2,954.96, 4,070.76 and 2,021.84

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Solution

The fourth proportional to 2,954.96, 4,070.76 and 2,021.84 is: 2,785.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,954.96 : 4,070.76 = 2,021.84 : x
  2. Step 2: Convert to fraction form
    2,954.96/4,070.76 = 2,021.84/x
  3. Step 3: Cross multiply
    2,954.96x = 4,070.76 × 2,021.84
  4. Step 4: Simplify right side
    2,954.96x = 8,230,425.40
  5. Step 5: Solve for x
    x = 8,230,425.40/2,954.96
  6. Step 6: Final answer
    x = 2,785.29

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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.