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Finding the Fourth Proportional to 2,507.44, 3,761.36 and 863.98

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Solution

The fourth proportional to 2,507.44, 3,761.36 and 863.98 is: 1,296.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,507.44 : 3,761.36 = 863.98 : x
  2. Step 2: Convert to fraction form
    2,507.44/3,761.36 = 863.98/x
  3. Step 3: Cross multiply
    2,507.44x = 3,761.36 × 863.98
  4. Step 4: Simplify right side
    2,507.44x = 3,249,739.81
  5. Step 5: Solve for x
    x = 3,249,739.81/2,507.44
  6. Step 6: Final answer
    x = 1,296.04

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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.