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Finding the Fourth Proportional to 2,546.34, 3,513.38 and 1,839.21

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Solution

The fourth proportional to 2,546.34, 3,513.38 and 1,839.21 is: 2,537.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,546.34 : 3,513.38 = 1,839.21 : x
  2. Step 2: Convert to fraction form
    2,546.34/3,513.38 = 1,839.21/x
  3. Step 3: Cross multiply
    2,546.34x = 3,513.38 × 1,839.21
  4. Step 4: Simplify right side
    2,546.34x = 6,461,834.43
  5. Step 5: Solve for x
    x = 6,461,834.43/2,546.34
  6. Step 6: Final answer
    x = 2,537.70

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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.