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Finding the Fourth Proportional to 2,496.66, 3,745.86 and 1,110.98

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Solution

The fourth proportional to 2,496.66, 3,745.86 and 1,110.98 is: 1,666.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,496.66 : 3,745.86 = 1,110.98 : x
  2. Step 2: Convert to fraction form
    2,496.66/3,745.86 = 1,110.98/x
  3. Step 3: Cross multiply
    2,496.66x = 3,745.86 × 1,110.98
  4. Step 4: Simplify right side
    2,496.66x = 4,161,556.81
  5. Step 5: Solve for x
    x = 4,161,556.81/2,496.66
  6. Step 6: Final answer
    x = 1,666.85

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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.