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Finding the Fourth Proportional to 2,055.86, 3,084.10 and 757.23

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Solution

The fourth proportional to 2,055.86, 3,084.10 and 757.23 is: 1,135.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,055.86 : 3,084.10 = 757.23 : x
  2. Step 2: Convert to fraction form
    2,055.86/3,084.10 = 757.23/x
  3. Step 3: Cross multiply
    2,055.86x = 3,084.10 × 757.23
  4. Step 4: Simplify right side
    2,055.86x = 2,335,373.04
  5. Step 5: Solve for x
    x = 2,335,373.04/2,055.86
  6. Step 6: Final answer
    x = 1,135.96

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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.