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Finding the Fourth Proportional to 2,055.40, 3,084.22 and 756.68

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Solution

The fourth proportional to 2,055.40, 3,084.22 and 756.68 is: 1,135.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,055.40 : 3,084.22 = 756.68 : x
  2. Step 2: Convert to fraction form
    2,055.40/3,084.22 = 756.68/x
  3. Step 3: Cross multiply
    2,055.40x = 3,084.22 × 756.68
  4. Step 4: Simplify right side
    2,055.40x = 2,333,767.59
  5. Step 5: Solve for x
    x = 2,333,767.59/2,055.40
  6. Step 6: Final answer
    x = 1,135.43

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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.