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Finding the Fourth Proportional to 2,322.40, 3,491.70 and 2,273.80

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Solution

The fourth proportional to 2,322.40, 3,491.70 and 2,273.80 is: 3,418.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,322.40 : 3,491.70 = 2,273.80 : x
  2. Step 2: Convert to fraction form
    2,322.40/3,491.70 = 2,273.80/x
  3. Step 3: Cross multiply
    2,322.40x = 3,491.70 × 2,273.80
  4. Step 4: Simplify right side
    2,322.40x = 7,939,427.46
  5. Step 5: Solve for x
    x = 7,939,427.46/2,322.40
  6. Step 6: Final answer
    x = 3,418.63

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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.