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Finding the Fourth Proportional to 2,733.84, 3,772.44 and 1,685.70

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Solution

The fourth proportional to 2,733.84, 3,772.44 and 1,685.70 is: 2,326.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,733.84 : 3,772.44 = 1,685.70 : x
  2. Step 2: Convert to fraction form
    2,733.84/3,772.44 = 1,685.70/x
  3. Step 3: Cross multiply
    2,733.84x = 3,772.44 × 1,685.70
  4. Step 4: Simplify right side
    2,733.84x = 6,359,202.11
  5. Step 5: Solve for x
    x = 6,359,202.11/2,733.84
  6. Step 6: Final answer
    x = 2,326.11

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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.