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Finding the Fourth Proportional to 2,625.30, 3,938.33 and 776.18

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Solution

The fourth proportional to 2,625.30, 3,938.33 and 776.18 is: 1,164.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,625.30 : 3,938.33 = 776.18 : x
  2. Step 2: Convert to fraction form
    2,625.30/3,938.33 = 776.18/x
  3. Step 3: Cross multiply
    2,625.30x = 3,938.33 × 776.18
  4. Step 4: Simplify right side
    2,625.30x = 3,056,829.41
  5. Step 5: Solve for x
    x = 3,056,829.41/2,625.30
  6. Step 6: Final answer
    x = 1,164.37

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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.