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Finding the Fourth Proportional to 2,279.31, 3,419.10 and 719.36

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Solution

The fourth proportional to 2,279.31, 3,419.10 and 719.36 is: 1,079.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,279.31 : 3,419.10 = 719.36 : x
  2. Step 2: Convert to fraction form
    2,279.31/3,419.10 = 719.36/x
  3. Step 3: Cross multiply
    2,279.31x = 3,419.10 × 719.36
  4. Step 4: Simplify right side
    2,279.31x = 2,459,572.32
  5. Step 5: Solve for x
    x = 2,459,572.32/2,279.31
  6. Step 6: Final answer
    x = 1,079.09

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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.