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Finding the Fourth Proportional to 2,372.90, 3,269.97 and 1,708.49

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Solution

The fourth proportional to 2,372.90, 3,269.97 and 1,708.49 is: 2,354.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,372.90 : 3,269.97 = 1,708.49 : x
  2. Step 2: Convert to fraction form
    2,372.90/3,269.97 = 1,708.49/x
  3. Step 3: Cross multiply
    2,372.90x = 3,269.97 × 1,708.49
  4. Step 4: Simplify right side
    2,372.90x = 5,586,719.22
  5. Step 5: Solve for x
    x = 5,586,719.22/2,372.90
  6. Step 6: Final answer
    x = 2,354.39

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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.