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Finding the Fourth Proportional to 2,978.14, 4,110.76 and 1,736.38

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Solution

The fourth proportional to 2,978.14, 4,110.76 and 1,736.38 is: 2,396.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,978.14 : 4,110.76 = 1,736.38 : x
  2. Step 2: Convert to fraction form
    2,978.14/4,110.76 = 1,736.38/x
  3. Step 3: Cross multiply
    2,978.14x = 4,110.76 × 1,736.38
  4. Step 4: Simplify right side
    2,978.14x = 7,137,841.45
  5. Step 5: Solve for x
    x = 7,137,841.45/2,978.14
  6. Step 6: Final answer
    x = 2,396.74

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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.