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Finding the Fourth Proportional to 2,731.64, 3,771.44 and 2,101.00

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Solution

The fourth proportional to 2,731.64, 3,771.44 and 2,101.00 is: 2,900.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,731.64 : 3,771.44 = 2,101.00 : x
  2. Step 2: Convert to fraction form
    2,731.64/3,771.44 = 2,101.00/x
  3. Step 3: Cross multiply
    2,731.64x = 3,771.44 × 2,101.00
  4. Step 4: Simplify right side
    2,731.64x = 7,923,775.51
  5. Step 5: Solve for x
    x = 7,923,775.51/2,731.64
  6. Step 6: Final answer
    x = 2,900.74

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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.