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Finding the Fourth Proportional to 2,625.69, 3,938.60 and 776.81

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Solution

The fourth proportional to 2,625.69, 3,938.60 and 776.81 is: 1,165.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,625.69 : 3,938.60 = 776.81 : x
  2. Step 2: Convert to fraction form
    2,625.69/3,938.60 = 776.81/x
  3. Step 3: Cross multiply
    2,625.69x = 3,938.60 × 776.81
  4. Step 4: Simplify right side
    2,625.69x = 3,059,520.29
  5. Step 5: Solve for x
    x = 3,059,520.29/2,625.69
  6. Step 6: Final answer
    x = 1,165.23

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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.