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Finding the Fourth Proportional to 2,055.83, 3,081.90 and 756.99

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Solution

The fourth proportional to 2,055.83, 3,081.90 and 756.99 is: 1,134.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,055.83 : 3,081.90 = 756.99 : x
  2. Step 2: Convert to fraction form
    2,055.83/3,081.90 = 756.99/x
  3. Step 3: Cross multiply
    2,055.83x = 3,081.90 × 756.99
  4. Step 4: Simplify right side
    2,055.83x = 2,332,967.48
  5. Step 5: Solve for x
    x = 2,332,967.48/2,055.83
  6. Step 6: Final answer
    x = 1,134.81

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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.