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Finding the Fourth Proportional to 2,911.53, 4,014.81 and 2,164.26

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Solution

The fourth proportional to 2,911.53, 4,014.81 and 2,164.26 is: 2,984.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,911.53 : 4,014.81 = 2,164.26 : x
  2. Step 2: Convert to fraction form
    2,911.53/4,014.81 = 2,164.26/x
  3. Step 3: Cross multiply
    2,911.53x = 4,014.81 × 2,164.26
  4. Step 4: Simplify right side
    2,911.53x = 8,689,092.69
  5. Step 5: Solve for x
    x = 8,689,092.69/2,911.53
  6. Step 6: Final answer
    x = 2,984.37

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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.