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Finding the Fourth Proportional to 2,279.63, 3,419.79 and 719.47

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Solution

The fourth proportional to 2,279.63, 3,419.79 and 719.47 is: 1,079.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,279.63 : 3,419.79 = 719.47 : x
  2. Step 2: Convert to fraction form
    2,279.63/3,419.79 = 719.47/x
  3. Step 3: Cross multiply
    2,279.63x = 3,419.79 × 719.47
  4. Step 4: Simplify right side
    2,279.63x = 2,460,436.31
  5. Step 5: Solve for x
    x = 2,460,436.31/2,279.63
  6. Step 6: Final answer
    x = 1,079.31

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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.