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Finding the Fourth Proportional to 2,577.77, 3,866.58 and 629.93

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Solution

The fourth proportional to 2,577.77, 3,866.58 and 629.93 is: 944.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,577.77 : 3,866.58 = 629.93 : x
  2. Step 2: Convert to fraction form
    2,577.77/3,866.58 = 629.93/x
  3. Step 3: Cross multiply
    2,577.77x = 3,866.58 × 629.93
  4. Step 4: Simplify right side
    2,577.77x = 2,435,674.74
  5. Step 5: Solve for x
    x = 2,435,674.74/2,577.77
  6. Step 6: Final answer
    x = 944.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.