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Finding the Fourth Proportional to 2,694.84, 4,041.93 and 846.03

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Solution

The fourth proportional to 2,694.84, 4,041.93 and 846.03 is: 1,268.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,694.84 : 4,041.93 = 846.03 : x
  2. Step 2: Convert to fraction form
    2,694.84/4,041.93 = 846.03/x
  3. Step 3: Cross multiply
    2,694.84x = 4,041.93 × 846.03
  4. Step 4: Simplify right side
    2,694.84x = 3,419,594.04
  5. Step 5: Solve for x
    x = 3,419,594.04/2,694.84
  6. Step 6: Final answer
    x = 1,268.94

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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.