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Finding the Fourth Proportional to 2,491.40, 3,736.90 and 1,878.23

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Solution

The fourth proportional to 2,491.40, 3,736.90 and 1,878.23 is: 2,817.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,491.40 : 3,736.90 = 1,878.23 : x
  2. Step 2: Convert to fraction form
    2,491.40/3,736.90 = 1,878.23/x
  3. Step 3: Cross multiply
    2,491.40x = 3,736.90 × 1,878.23
  4. Step 4: Simplify right side
    2,491.40x = 7,018,757.69
  5. Step 5: Solve for x
    x = 7,018,757.69/2,491.40
  6. Step 6: Final answer
    x = 2,817.19

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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.