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Finding the Fourth Proportional to 2,577.72, 3,866.55 and 629.89

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Solution

The fourth proportional to 2,577.72, 3,866.55 and 629.89 is: 944.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,577.72 : 3,866.55 = 629.89 : x
  2. Step 2: Convert to fraction form
    2,577.72/3,866.55 = 629.89/x
  3. Step 3: Cross multiply
    2,577.72x = 3,866.55 × 629.89
  4. Step 4: Simplify right side
    2,577.72x = 2,435,501.18
  5. Step 5: Solve for x
    x = 2,435,501.18/2,577.72
  6. Step 6: Final answer
    x = 944.83

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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.