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Finding the Fourth Proportional to 2,709.69, 4,064.67 and 978.27

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Solution

The fourth proportional to 2,709.69, 4,064.67 and 978.27 is: 1,467.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.69 : 4,064.67 = 978.27 : x
  2. Step 2: Convert to fraction form
    2,709.69/4,064.67 = 978.27/x
  3. Step 3: Cross multiply
    2,709.69x = 4,064.67 × 978.27
  4. Step 4: Simplify right side
    2,709.69x = 3,976,344.72
  5. Step 5: Solve for x
    x = 3,976,344.72/2,709.69
  6. Step 6: Final answer
    x = 1,467.45

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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.