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Finding the Fourth Proportional to 2,334.31, 3,491.13 and 2,076.12

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Solution

The fourth proportional to 2,334.31, 3,491.13 and 2,076.12 is: 3,104.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,334.31 : 3,491.13 = 2,076.12 : x
  2. Step 2: Convert to fraction form
    2,334.31/3,491.13 = 2,076.12/x
  3. Step 3: Cross multiply
    2,334.31x = 3,491.13 × 2,076.12
  4. Step 4: Simplify right side
    2,334.31x = 7,248,004.82
  5. Step 5: Solve for x
    x = 7,248,004.82/2,334.31
  6. Step 6: Final answer
    x = 3,104.99

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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.