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Finding the Fourth Proportional to 2,279.16, 3,416.94 and 892.26

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Solution

The fourth proportional to 2,279.16, 3,416.94 and 892.26 is: 1,337.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,279.16 : 3,416.94 = 892.26 : x
  2. Step 2: Convert to fraction form
    2,279.16/3,416.94 = 892.26/x
  3. Step 3: Cross multiply
    2,279.16x = 3,416.94 × 892.26
  4. Step 4: Simplify right side
    2,279.16x = 3,048,798.88
  5. Step 5: Solve for x
    x = 3,048,798.88/2,279.16
  6. Step 6: Final answer
    x = 1,337.69

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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.