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Finding the Fourth Proportional to 2,340.54, 3,229.67 and 1,292.54

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Solution

The fourth proportional to 2,340.54, 3,229.67 and 1,292.54 is: 1,783.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,340.54 : 3,229.67 = 1,292.54 : x
  2. Step 2: Convert to fraction form
    2,340.54/3,229.67 = 1,292.54/x
  3. Step 3: Cross multiply
    2,340.54x = 3,229.67 × 1,292.54
  4. Step 4: Simplify right side
    2,340.54x = 4,174,477.66
  5. Step 5: Solve for x
    x = 4,174,477.66/2,340.54
  6. Step 6: Final answer
    x = 1,783.55

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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.