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Finding the Fourth Proportional to 2,911.72, 4,360.59 and 2,561.49

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Solution

The fourth proportional to 2,911.72, 4,360.59 and 2,561.49 is: 3,836.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,911.72 : 4,360.59 = 2,561.49 : x
  2. Step 2: Convert to fraction form
    2,911.72/4,360.59 = 2,561.49/x
  3. Step 3: Cross multiply
    2,911.72x = 4,360.59 × 2,561.49
  4. Step 4: Simplify right side
    2,911.72x = 11,169,624.03
  5. Step 5: Solve for x
    x = 11,169,624.03/2,911.72
  6. Step 6: Final answer
    x = 3,836.09

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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.