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Finding the Fourth Proportional to 2,278.14, 3,416.49 and 979.26

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Solution

The fourth proportional to 2,278.14, 3,416.49 and 979.26 is: 1,468.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,278.14 : 3,416.49 = 979.26 : x
  2. Step 2: Convert to fraction form
    2,278.14/3,416.49 = 979.26/x
  3. Step 3: Cross multiply
    2,278.14x = 3,416.49 × 979.26
  4. Step 4: Simplify right side
    2,278.14x = 3,345,632.00
  5. Step 5: Solve for x
    x = 3,345,632.00/2,278.14
  6. Step 6: Final answer
    x = 1,468.58

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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.