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Finding the Fourth Proportional to 2,642.28, 3,956.05 and 1,341.01

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Solution

The fourth proportional to 2,642.28, 3,956.05 and 1,341.01 is: 2,007.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,642.28 : 3,956.05 = 1,341.01 : x
  2. Step 2: Convert to fraction form
    2,642.28/3,956.05 = 1,341.01/x
  3. Step 3: Cross multiply
    2,642.28x = 3,956.05 × 1,341.01
  4. Step 4: Simplify right side
    2,642.28x = 5,305,102.61
  5. Step 5: Solve for x
    x = 5,305,102.61/2,642.28
  6. Step 6: Final answer
    x = 2,007.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.