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Finding the Fourth Proportional to 2,625.11, 3,937.31 and 776.42

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Solution

The fourth proportional to 2,625.11, 3,937.31 and 776.42 is: 1,164.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,625.11 : 3,937.31 = 776.42 : x
  2. Step 2: Convert to fraction form
    2,625.11/3,937.31 = 776.42/x
  3. Step 3: Cross multiply
    2,625.11x = 3,937.31 × 776.42
  4. Step 4: Simplify right side
    2,625.11x = 3,057,000.34
  5. Step 5: Solve for x
    x = 3,057,000.34/2,625.11
  6. Step 6: Final answer
    x = 1,164.52

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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.