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Finding the Fourth Proportional to 2,507.78, 3,761.58 and 863.36

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Solution

The fourth proportional to 2,507.78, 3,761.58 and 863.36 is: 1,295.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,507.78 : 3,761.58 = 863.36 : x
  2. Step 2: Convert to fraction form
    2,507.78/3,761.58 = 863.36/x
  3. Step 3: Cross multiply
    2,507.78x = 3,761.58 × 863.36
  4. Step 4: Simplify right side
    2,507.78x = 3,247,597.71
  5. Step 5: Solve for x
    x = 3,247,597.71/2,507.78
  6. Step 6: Final answer
    x = 1,295.01

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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.