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Finding the Fourth Proportional to 2,372.85, 3,274.25 and 1,310.55

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Solution

The fourth proportional to 2,372.85, 3,274.25 and 1,310.55 is: 1,808.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,372.85 : 3,274.25 = 1,310.55 : x
  2. Step 2: Convert to fraction form
    2,372.85/3,274.25 = 1,310.55/x
  3. Step 3: Cross multiply
    2,372.85x = 3,274.25 × 1,310.55
  4. Step 4: Simplify right side
    2,372.85x = 4,291,080.21
  5. Step 5: Solve for x
    x = 4,291,080.21/2,372.85
  6. Step 6: Final answer
    x = 1,808.41

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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.