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Finding the Fourth Proportional to 2,373.11, 3,274.87 and 1,310.88

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Solution

The fourth proportional to 2,373.11, 3,274.87 and 1,310.88 is: 1,809.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,373.11 : 3,274.87 = 1,310.88 : x
  2. Step 2: Convert to fraction form
    2,373.11/3,274.87 = 1,310.88/x
  3. Step 3: Cross multiply
    2,373.11x = 3,274.87 × 1,310.88
  4. Step 4: Simplify right side
    2,373.11x = 4,292,961.59
  5. Step 5: Solve for x
    x = 4,292,961.59/2,373.11
  6. Step 6: Final answer
    x = 1,809.00

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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.