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Finding the Fourth Proportional to 2,857.30, 3,937.14 and 2,671.00

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Solution

The fourth proportional to 2,857.30, 3,937.14 and 2,671.00 is: 3,680.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857.30 : 3,937.14 = 2,671.00 : x
  2. Step 2: Convert to fraction form
    2,857.30/3,937.14 = 2,671.00/x
  3. Step 3: Cross multiply
    2,857.30x = 3,937.14 × 2,671.00
  4. Step 4: Simplify right side
    2,857.30x = 10,516,091.10
  5. Step 5: Solve for x
    x = 10,516,091.10/2,857.30
  6. Step 6: Final answer
    x = 3,680.43

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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.