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Finding the Fourth Proportional to 2,054.79, 3,082.32 and 757.17

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Solution

The fourth proportional to 2,054.79, 3,082.32 and 757.17 is: 1,135.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054.79 : 3,082.32 = 757.17 : x
  2. Step 2: Convert to fraction form
    2,054.79/3,082.32 = 757.17/x
  3. Step 3: Cross multiply
    2,054.79x = 3,082.32 × 757.17
  4. Step 4: Simplify right side
    2,054.79x = 2,333,840.23
  5. Step 5: Solve for x
    x = 2,333,840.23/2,054.79
  6. Step 6: Final answer
    x = 1,135.80

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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.