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Finding the Fourth Proportional to 3,189.56, 4,400.64 and 2,011.01

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Solution

The fourth proportional to 3,189.56, 4,400.64 and 2,011.01 is: 2,774.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,189.56 : 4,400.64 = 2,011.01 : x
  2. Step 2: Convert to fraction form
    3,189.56/4,400.64 = 2,011.01/x
  3. Step 3: Cross multiply
    3,189.56x = 4,400.64 × 2,011.01
  4. Step 4: Simplify right side
    3,189.56x = 8,849,709.04
  5. Step 5: Solve for x
    x = 8,849,709.04/3,189.56
  6. Step 6: Final answer
    x = 2,774.59

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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.