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Finding the Fourth Proportional to 2,878.73, 3,972 and 1,699.17

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Solution

The fourth proportional to 2,878.73, 3,972 and 1,699.17 is: 2,344.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,878.73 : 3,972 = 1,699.17 : x
  2. Step 2: Convert to fraction form
    2,878.73/3,972 = 1,699.17/x
  3. Step 3: Cross multiply
    2,878.73x = 3,972 × 1,699.17
  4. Step 4: Simplify right side
    2,878.73x = 6,749,103.24
  5. Step 5: Solve for x
    x = 6,749,103.24/2,878.73
  6. Step 6: Final answer
    x = 2,344.47

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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.