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Finding the Fourth Proportional to 2,458.59, 3,684.69 and 996.94

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Solution

The fourth proportional to 2,458.59, 3,684.69 and 996.94 is: 1,494.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,458.59 : 3,684.69 = 996.94 : x
  2. Step 2: Convert to fraction form
    2,458.59/3,684.69 = 996.94/x
  3. Step 3: Cross multiply
    2,458.59x = 3,684.69 × 996.94
  4. Step 4: Simplify right side
    2,458.59x = 3,673,419.45
  5. Step 5: Solve for x
    x = 3,673,419.45/2,458.59
  6. Step 6: Final answer
    x = 1,494.12

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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.