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Finding the Fourth Proportional to 2,499.88, 3,749.64 and 855.76

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Solution

The fourth proportional to 2,499.88, 3,749.64 and 855.76 is: 1,283.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,499.88 : 3,749.64 = 855.76 : x
  2. Step 2: Convert to fraction form
    2,499.88/3,749.64 = 855.76/x
  3. Step 3: Cross multiply
    2,499.88x = 3,749.64 × 855.76
  4. Step 4: Simplify right side
    2,499.88x = 3,208,791.93
  5. Step 5: Solve for x
    x = 3,208,791.93/2,499.88
  6. Step 6: Final answer
    x = 1,283.58

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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.