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Finding the Fourth Proportional to 2,372.76, 3,274.26 and 1,310.46

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Solution

The fourth proportional to 2,372.76, 3,274.26 and 1,310.46 is: 1,808.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,372.76 : 3,274.26 = 1,310.46 : x
  2. Step 2: Convert to fraction form
    2,372.76/3,274.26 = 1,310.46/x
  3. Step 3: Cross multiply
    2,372.76x = 3,274.26 × 1,310.46
  4. Step 4: Simplify right side
    2,372.76x = 4,290,786.76
  5. Step 5: Solve for x
    x = 4,290,786.76/2,372.76
  6. Step 6: Final answer
    x = 1,808.35

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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.