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Finding the Fourth Proportional to 1,838.59, 2,771.66 and 1,716.39

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Solution

The fourth proportional to 1,838.59, 2,771.66 and 1,716.39 is: 2,587.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,838.59 : 2,771.66 = 1,716.39 : x
  2. Step 2: Convert to fraction form
    1,838.59/2,771.66 = 1,716.39/x
  3. Step 3: Cross multiply
    1,838.59x = 2,771.66 × 1,716.39
  4. Step 4: Simplify right side
    1,838.59x = 4,757,249.51
  5. Step 5: Solve for x
    x = 4,757,249.51/1,838.59
  6. Step 6: Final answer
    x = 2,587.44

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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.