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Finding the Fourth Proportional to 2,336.15, 3,503.81 and 776.00

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Solution

The fourth proportional to 2,336.15, 3,503.81 and 776.00 is: 1,163.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,336.15 : 3,503.81 = 776.00 : x
  2. Step 2: Convert to fraction form
    2,336.15/3,503.81 = 776.00/x
  3. Step 3: Cross multiply
    2,336.15x = 3,503.81 × 776.00
  4. Step 4: Simplify right side
    2,336.15x = 2,718,935.16
  5. Step 5: Solve for x
    x = 2,718,935.16/2,336.15
  6. Step 6: Final answer
    x = 1,163.86

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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.