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Finding the Fourth Proportional to 2,505.77, 3,758.68 and 1,119.17

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Solution

The fourth proportional to 2,505.77, 3,758.68 and 1,119.17 is: 1,678.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,505.77 : 3,758.68 = 1,119.17 : x
  2. Step 2: Convert to fraction form
    2,505.77/3,758.68 = 1,119.17/x
  3. Step 3: Cross multiply
    2,505.77x = 3,758.68 × 1,119.17
  4. Step 4: Simplify right side
    2,505.77x = 4,206,608.49
  5. Step 5: Solve for x
    x = 4,206,608.49/2,505.77
  6. Step 6: Final answer
    x = 1,678.77

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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.