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Finding the Fourth Proportional to 2,626.31, 3,938.72 and 776.99

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Solution

The fourth proportional to 2,626.31, 3,938.72 and 776.99 is: 1,165.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,626.31 : 3,938.72 = 776.99 : x
  2. Step 2: Convert to fraction form
    2,626.31/3,938.72 = 776.99/x
  3. Step 3: Cross multiply
    2,626.31x = 3,938.72 × 776.99
  4. Step 4: Simplify right side
    2,626.31x = 3,060,322.47
  5. Step 5: Solve for x
    x = 3,060,322.47/2,626.31
  6. Step 6: Final answer
    x = 1,165.26

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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.