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Finding the Fourth Proportional to 2,887.82, 3,986.64 and 1,894.62

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Solution

The fourth proportional to 2,887.82, 3,986.64 and 1,894.62 is: 2,615.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,887.82 : 3,986.64 = 1,894.62 : x
  2. Step 2: Convert to fraction form
    2,887.82/3,986.64 = 1,894.62/x
  3. Step 3: Cross multiply
    2,887.82x = 3,986.64 × 1,894.62
  4. Step 4: Simplify right side
    2,887.82x = 7,553,167.88
  5. Step 5: Solve for x
    x = 7,553,167.88/2,887.82
  6. Step 6: Final answer
    x = 2,615.53

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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.