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Finding the Fourth Proportional to 2,776.48, 4,163.32 and 926.95

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Solution

The fourth proportional to 2,776.48, 4,163.32 and 926.95 is: 1,389.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,776.48 : 4,163.32 = 926.95 : x
  2. Step 2: Convert to fraction form
    2,776.48/4,163.32 = 926.95/x
  3. Step 3: Cross multiply
    2,776.48x = 4,163.32 × 926.95
  4. Step 4: Simplify right side
    2,776.48x = 3,859,189.47
  5. Step 5: Solve for x
    x = 3,859,189.47/2,776.48
  6. Step 6: Final answer
    x = 1,389.96

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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.