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Finding the Fourth Proportional to 2,372.90, 3,274.43 and 1,310.49

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Solution

The fourth proportional to 2,372.90, 3,274.43 and 1,310.49 is: 1,808.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,372.90 : 3,274.43 = 1,310.49 : x
  2. Step 2: Convert to fraction form
    2,372.90/3,274.43 = 1,310.49/x
  3. Step 3: Cross multiply
    2,372.90x = 3,274.43 × 1,310.49
  4. Step 4: Simplify right side
    2,372.90x = 4,291,118.41
  5. Step 5: Solve for x
    x = 4,291,118.41/2,372.90
  6. Step 6: Final answer
    x = 1,808.39

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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.