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Finding the Fourth Proportional to 3,149.84, 4,346.88 and 1,733.46

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Solution

The fourth proportional to 3,149.84, 4,346.88 and 1,733.46 is: 2,392.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,149.84 : 4,346.88 = 1,733.46 : x
  2. Step 2: Convert to fraction form
    3,149.84/4,346.88 = 1,733.46/x
  3. Step 3: Cross multiply
    3,149.84x = 4,346.88 × 1,733.46
  4. Step 4: Simplify right side
    3,149.84x = 7,535,142.60
  5. Step 5: Solve for x
    x = 7,535,142.60/3,149.84
  6. Step 6: Final answer
    x = 2,392.23

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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.