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Finding the Fourth Proportional to 3,089.96, 4,260.75 and 1,969.64

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Solution

The fourth proportional to 3,089.96, 4,260.75 and 1,969.64 is: 2,715.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,089.96 : 4,260.75 = 1,969.64 : x
  2. Step 2: Convert to fraction form
    3,089.96/4,260.75 = 1,969.64/x
  3. Step 3: Cross multiply
    3,089.96x = 4,260.75 × 1,969.64
  4. Step 4: Simplify right side
    3,089.96x = 8,392,143.63
  5. Step 5: Solve for x
    x = 8,392,143.63/3,089.96
  6. Step 6: Final answer
    x = 2,715.94

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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.