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Finding the Fourth Proportional to 3,122.94, 4,311.16 and 2,129.88

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Solution

The fourth proportional to 3,122.94, 4,311.16 and 2,129.88 is: 2,940.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,122.94 : 4,311.16 = 2,129.88 : x
  2. Step 2: Convert to fraction form
    3,122.94/4,311.16 = 2,129.88/x
  3. Step 3: Cross multiply
    3,122.94x = 4,311.16 × 2,129.88
  4. Step 4: Simplify right side
    3,122.94x = 9,182,253.46
  5. Step 5: Solve for x
    x = 9,182,253.46/3,122.94
  6. Step 6: Final answer
    x = 2,940.26

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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.