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Finding the Fourth Proportional to 2,669.39, 3,684.81 and 1,760.75

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Solution

The fourth proportional to 2,669.39, 3,684.81 and 1,760.75 is: 2,430.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,669.39 : 3,684.81 = 1,760.75 : x
  2. Step 2: Convert to fraction form
    2,669.39/3,684.81 = 1,760.75/x
  3. Step 3: Cross multiply
    2,669.39x = 3,684.81 × 1,760.75
  4. Step 4: Simplify right side
    2,669.39x = 6,488,040.12
  5. Step 5: Solve for x
    x = 6,488,040.12/2,669.39
  6. Step 6: Final answer
    x = 2,430.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.