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Finding the Fourth Proportional to 2,055.81, 3,084.02 and 757.17

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Solution

The fourth proportional to 2,055.81, 3,084.02 and 757.17 is: 1,135.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,055.81 : 3,084.02 = 757.17 : x
  2. Step 2: Convert to fraction form
    2,055.81/3,084.02 = 757.17/x
  3. Step 3: Cross multiply
    2,055.81x = 3,084.02 × 757.17
  4. Step 4: Simplify right side
    2,055.81x = 2,335,123.64
  5. Step 5: Solve for x
    x = 2,335,123.64/2,055.81
  6. Step 6: Final answer
    x = 1,135.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.