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Finding the Fourth Proportional to 2,054.52, 3,082.86 and 901.08

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Solution

The fourth proportional to 2,054.52, 3,082.86 and 901.08 is: 1,352.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054.52 : 3,082.86 = 901.08 : x
  2. Step 2: Convert to fraction form
    2,054.52/3,082.86 = 901.08/x
  3. Step 3: Cross multiply
    2,054.52x = 3,082.86 × 901.08
  4. Step 4: Simplify right side
    2,054.52x = 2,777,903.49
  5. Step 5: Solve for x
    x = 2,777,903.49/2,054.52
  6. Step 6: Final answer
    x = 1,352.09

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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.