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Finding the Fourth Proportional to 2,496.67, 3,741.86 and 1,264.39

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Solution

The fourth proportional to 2,496.67, 3,741.86 and 1,264.39 is: 1,894.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,496.67 : 3,741.86 = 1,264.39 : x
  2. Step 2: Convert to fraction form
    2,496.67/3,741.86 = 1,264.39/x
  3. Step 3: Cross multiply
    2,496.67x = 3,741.86 × 1,264.39
  4. Step 4: Simplify right side
    2,496.67x = 4,731,164.04
  5. Step 5: Solve for x
    x = 4,731,164.04/2,496.67
  6. Step 6: Final answer
    x = 1,894.99

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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.