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Finding the Fourth Proportional to 2,319.36, 3,478.66 and 759.34

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Solution

The fourth proportional to 2,319.36, 3,478.66 and 759.34 is: 1,138.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,319.36 : 3,478.66 = 759.34 : x
  2. Step 2: Convert to fraction form
    2,319.36/3,478.66 = 759.34/x
  3. Step 3: Cross multiply
    2,319.36x = 3,478.66 × 759.34
  4. Step 4: Simplify right side
    2,319.36x = 2,641,485.68
  5. Step 5: Solve for x
    x = 2,641,485.68/2,319.36
  6. Step 6: Final answer
    x = 1,138.89

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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.