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Finding the Fourth Proportional to 2,241, 3,092.99 and 1,297.40

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Solution

The fourth proportional to 2,241, 3,092.99 and 1,297.40 is: 1,790.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,241 : 3,092.99 = 1,297.40 : x
  2. Step 2: Convert to fraction form
    2,241/3,092.99 = 1,297.40/x
  3. Step 3: Cross multiply
    2,241x = 3,092.99 × 1,297.40
  4. Step 4: Simplify right side
    2,241x = 4,012,823.27
  5. Step 5: Solve for x
    x = 4,012,823.27/2,241
  6. Step 6: Final answer
    x = 1,790.64

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Why These Related Problems?

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