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Finding the Fourth Proportional to 2,315.39, 3,472.37 and 776.03

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Solution

The fourth proportional to 2,315.39, 3,472.37 and 776.03 is: 1,163.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,315.39 : 3,472.37 = 776.03 : x
  2. Step 2: Convert to fraction form
    2,315.39/3,472.37 = 776.03/x
  3. Step 3: Cross multiply
    2,315.39x = 3,472.37 × 776.03
  4. Step 4: Simplify right side
    2,315.39x = 2,694,659.41
  5. Step 5: Solve for x
    x = 2,694,659.41/2,315.39
  6. Step 6: Final answer
    x = 1,163.80

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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.