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Finding the Fourth Proportional to 2,279.39, 3,419.08 and 719.55

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Solution

The fourth proportional to 2,279.39, 3,419.08 and 719.55 is: 1,079.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,279.39 : 3,419.08 = 719.55 : x
  2. Step 2: Convert to fraction form
    2,279.39/3,419.08 = 719.55/x
  3. Step 3: Cross multiply
    2,279.39x = 3,419.08 × 719.55
  4. Step 4: Simplify right side
    2,279.39x = 2,460,191.37
  5. Step 5: Solve for x
    x = 2,460,191.37/2,279.39
  6. Step 6: Final answer
    x = 1,079.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.