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Finding the Fourth Proportional to 2,625.86, 3,938.43 and 777.17

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Solution

The fourth proportional to 2,625.86, 3,938.43 and 777.17 is: 1,165.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,625.86 : 3,938.43 = 777.17 : x
  2. Step 2: Convert to fraction form
    2,625.86/3,938.43 = 777.17/x
  3. Step 3: Cross multiply
    2,625.86x = 3,938.43 × 777.17
  4. Step 4: Simplify right side
    2,625.86x = 3,060,839.49
  5. Step 5: Solve for x
    x = 3,060,839.49/2,625.86
  6. Step 6: Final answer
    x = 1,165.65

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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.