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Finding the Fourth Proportional to 1,241.93, 1,712.72 and 993.26

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Solution

The fourth proportional to 1,241.93, 1,712.72 and 993.26 is: 1,369.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,241.93 : 1,712.72 = 993.26 : x
  2. Step 2: Convert to fraction form
    1,241.93/1,712.72 = 993.26/x
  3. Step 3: Cross multiply
    1,241.93x = 1,712.72 × 993.26
  4. Step 4: Simplify right side
    1,241.93x = 1,701,170.19
  5. Step 5: Solve for x
    x = 1,701,170.19/1,241.93
  6. Step 6: Final answer
    x = 1,369.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.