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Finding the Fourth Proportional to 2,908.56, 4,011.84 and 2,023.20

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Solution

The fourth proportional to 2,908.56, 4,011.84 and 2,023.20 is: 2,790.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,908.56 : 4,011.84 = 2,023.20 : x
  2. Step 2: Convert to fraction form
    2,908.56/4,011.84 = 2,023.20/x
  3. Step 3: Cross multiply
    2,908.56x = 4,011.84 × 2,023.20
  4. Step 4: Simplify right side
    2,908.56x = 8,116,754.69
  5. Step 5: Solve for x
    x = 8,116,754.69/2,908.56
  6. Step 6: Final answer
    x = 2,790.64

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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.