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Finding the Fourth Proportional to 2,074.14, 3,112.29 and 978.30

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Solution

The fourth proportional to 2,074.14, 3,112.29 and 978.30 is: 1,467.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.14 : 3,112.29 = 978.30 : x
  2. Step 2: Convert to fraction form
    2,074.14/3,112.29 = 978.30/x
  3. Step 3: Cross multiply
    2,074.14x = 3,112.29 × 978.30
  4. Step 4: Simplify right side
    2,074.14x = 3,044,753.31
  5. Step 5: Solve for x
    x = 3,044,753.31/2,074.14
  6. Step 6: Final answer
    x = 1,467.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.