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Finding the Fourth Proportional to 2,505.94, 3,760.08 and 1,119.14

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Solution

The fourth proportional to 2,505.94, 3,760.08 and 1,119.14 is: 1,679.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,505.94 : 3,760.08 = 1,119.14 : x
  2. Step 2: Convert to fraction form
    2,505.94/3,760.08 = 1,119.14/x
  3. Step 3: Cross multiply
    2,505.94x = 3,760.08 × 1,119.14
  4. Step 4: Simplify right side
    2,505.94x = 4,208,055.93
  5. Step 5: Solve for x
    x = 4,208,055.93/2,505.94
  6. Step 6: Final answer
    x = 1,679.23

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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.