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Finding the Fourth Proportional to 2,577.41, 3,866.11 and 629.59

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Solution

The fourth proportional to 2,577.41, 3,866.11 and 629.59 is: 944.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,577.41 : 3,866.11 = 629.59 : x
  2. Step 2: Convert to fraction form
    2,577.41/3,866.11 = 629.59/x
  3. Step 3: Cross multiply
    2,577.41x = 3,866.11 × 629.59
  4. Step 4: Simplify right side
    2,577.41x = 2,434,064.19
  5. Step 5: Solve for x
    x = 2,434,064.19/2,577.41
  6. Step 6: Final answer
    x = 944.38

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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.