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Finding the Fourth Proportional to 2,840.34, 3,919.39 and 1,661.18

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Solution

The fourth proportional to 2,840.34, 3,919.39 and 1,661.18 is: 2,292.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,840.34 : 3,919.39 = 1,661.18 : x
  2. Step 2: Convert to fraction form
    2,840.34/3,919.39 = 1,661.18/x
  3. Step 3: Cross multiply
    2,840.34x = 3,919.39 × 1,661.18
  4. Step 4: Simplify right side
    2,840.34x = 6,510,812.28
  5. Step 5: Solve for x
    x = 6,510,812.28/2,840.34
  6. Step 6: Final answer
    x = 2,292.27

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Why These Related Problems?

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