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Finding the Fourth Proportional to 2,279.45, 3,418.68 and 719.57

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Solution

The fourth proportional to 2,279.45, 3,418.68 and 719.57 is: 1,079.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,279.45 : 3,418.68 = 719.57 : x
  2. Step 2: Convert to fraction form
    2,279.45/3,418.68 = 719.57/x
  3. Step 3: Cross multiply
    2,279.45x = 3,418.68 × 719.57
  4. Step 4: Simplify right side
    2,279.45x = 2,459,995.94
  5. Step 5: Solve for x
    x = 2,459,995.94/2,279.45
  6. Step 6: Final answer
    x = 1,079.21

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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.