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Finding the Fourth Proportional to 1,836.59, 2,768.64 and 1,714.39

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Solution

The fourth proportional to 1,836.59, 2,768.64 and 1,714.39 is: 2,584.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,836.59 : 2,768.64 = 1,714.39 : x
  2. Step 2: Convert to fraction form
    1,836.59/2,768.64 = 1,714.39/x
  3. Step 3: Cross multiply
    1,836.59x = 2,768.64 × 1,714.39
  4. Step 4: Simplify right side
    1,836.59x = 4,746,529.84
  5. Step 5: Solve for x
    x = 4,746,529.84/1,836.59
  6. Step 6: Final answer
    x = 2,584.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.